Elementary POW, February 5-9, 1996
Elementary POW Problems || January-March, 1996 Problems || Elementary POW Main Page
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Elementary Problem of the Week, February 5-9, 1996
This week's problem was submitted by Julie Jadlowiec, a senior math mentor
from Shaler High School in Pittsburgh, PA.
A spy has secretly bugged your calculator with a bomb. In order to debug
the bomb, you must solve the calculation below without pressing the buttons
2 or 8. If 2 or 8 is pressed, the bomb will go off. (Hint: There is more
than one way to debug the bomb. How many different ways can you do it?) If
you are successful, then you will have a surprise.
12 + 84 - 22
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Andrew Bawn Mrs Pensa's 3rd grade class Center School Stow MA Chris Wade Mrs Pensa's 3rd grade class Center School Stow MA Drew Giles Mrs. Pensa's 3rd grade Center School Stow MA Jeremy Browne & Matt Way Miss McCarthy's 5th grade class Center school Kristin Squires Mrs. Pensa's 3rd Grade class Center School Stow MA Rahul Jain Mr. Ellsworth's fourth grade class Center school Stow ,Mass Riannon Delanoy Mrs. Pensa's class Center School Stow MA Sam Hahn Mrs. McCarthy 4th grade Center School Stow MA Tim Sivret Mrs. O'Connell's 5th grade class Center School Stow MA Anna Margush 4th Tim & Gail Margush Home Schooled - Akron, OH Edward Perth West Australia Year Six Mr Hall's class. Lucie Rose 4th grade Shameem Rakha Colleen Brodie Leal School Urbana, Illinois. Luis Mendoza Fourth Paul Nass Georgetown Day School Washington D.C. ****** 50 solutions !!! Wow !!!! ******** Megan Klaas Jessica Pounds Mr. Roberts' 5th grade Whitehouse Elementary Jax. Florida ***************************************** Aneil Baron Paul Nass Georgetown Day School 3rd grade Wasington D.C. Math Club April Leonard (Grade 2) Olivehill Elementary Trotwood, Ohio Students: Billy and Corey, Matt, Whitney, Bobbie Jo, John, Chris, Kayte, Richard, Eric, Amanda Dr. Slomer's fifth grade class Rogers Elementary School Shaler Are School District Pittsburgh, Pennsylvania Students: Lara Ranallo, Jenna Gilbert, Stephanie Catanese, John Tiernan, Kris Slomer, Allison Cullen Doyle, Danielle Feris, Christina Burgander, Kirk Thompson, Brad Jadlowiec John, Patrick, Giul, Lizzie, Vicky, Chris, Ted, Jessica, Danny, Barbara, Simon, Keri,and Stephen. Fourth grade Drexel Hill School of the Holy Child Drexel Hill, PA Mrs. Yantosh Amanda Tuminelli, Christine McGowan, Kim Fugok, and Ryan Grace Grade 6 Caroline Brennan Drexel Hill School of the Holy Child Drexel Hill PA Bobby Tucker, Arthur Clausnitzer, Jessie Shackleton, Jason Gullifer, Steven Puopolo, Katie Steimer, Katy Pelletier, Kristina Borges Grade 5 Miss Flynn Bagnall School, Groveland, MA Mark Burke, Abby Garland, Megan Martin, Nicole Curry Grade 5 Mrs. Crawford Bagnall School, Groveland Fourth grade Mrs. Hirns class Matt, Dan, Greg , Lena and Colleen Ms. Duggan's class Munsey Park School Evan Mossman, Todd Feiler Matt Spindler 4th grade. Danielle Gugger and Jillian Martel Grade 6 Mrs. Christopher Bagnall School, Groveland, MA Brian Griffiths, Brent Durkee, Brian Quattrochi, Ian Gugger, Haley Angelini, Tim Foley, Lindsay Bonfanti, Nisha Hughes, Talia Racca, Kathryn Mullen, Billy Mavroides, Rick Piatti, Jason Saldi, Liz Pelletier, Christine, Scott Luken, Richard Cyr, Alexis Karavedas, Meagan, Donnie Alyward Grade 6 Ms. Lemieux Bagnall School, Groveland, MA Tommy Grace Grade 5 Paul Nass Georgetown Day School Washington, D.C. David Goodin, Billie Jo Cook, Joshe Roche Grade 5 Miss Ladyszewski Bagnall School, Groveland, MA Shane, Mike, Christopher Lincoln Elementary 3rd grade Mrs. Kaye's class Janet Rimmel O'Hara Elementary Pittsburgh, PA 15238 Students: Molly Howard, Zachary Chicko, Casey Vogel, Nishan Willaims, Sarah Casey, Yaara Taasan, Anne Overmyer, Andrew Epstein, Molly Finley, Josh Wein, Julia Wang, Mike Lombardi, Ashley Noro, Eileen Froehkle, Dena Stroje, Jason Stumpf, David Braden, Carey Skwortz, Hillary Smith LISA SIMMONS GRADE 6 IHM SCHOOL Katie G. Jefferson Road School Pittsford, New York Jamie Detzel 6th grade Saxonburg Elementary School Butler, PA
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Andrew Bawn - Mrs Pensa's 3rd grade class - Center School - Stow MA
My first answer was 6+6+90-6-11+11=74. And my second answer was
3x4+44+40-16+6=74. I have 6 answers.
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Chris Wade - Mrs Pensa's 3rd grade class - Center School Stow MA
First, subtracted 12-6=6. Then I did 84+6=90. Then I added 90+6=96.
Then I added 96+9=105 and 22+9=31. The whole time I was trading numbers
to the other number so I would not press 2 or 8. Then I did 105-31=74.
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Drew Giles - Mrs. Pensa's 3rd grade at Center School - Stow MA
I got four different ways to solve this problem:
11 + 1 + 44 + 44 - 4 -11 - 11 = 74
6 + 6 + 33 + 51 - 19 -3 = 74
9 + 3 + 70 + 14 - 13 - 9 = 74
6 + 6 + 41 + 43 - 11 - 11 = 74
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Jeremy Browne & Matt Way, Miss McCarthy's 5th grade class,
Center school
We knew we couldn't use the 2 or the 8, so we decided to break the
problem into smaller parts, and this is what we got: 15x5-1=74 and
5x16+4+6+6-36+10+4=74 and 75-1=74 and 5x16-6=74 and 77-3=74 and
100-13-13=74 and 37+37=74. We know that there are many more answers, but
this is what we got!
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Kristin Squires - Mrs. Pensa's 3rd Grade class - Center School - Stow MA
First I started out knowing that you can't use 2s or 8s so I had to
change the numbers. So I changed 12 to 11 + 1 and I changed 84 to 74 +
10 and I changed 22 to 19 + 3. Then I put these all together :
11 + 1 + 74 + 10 - 19 - 3 = 74
10 + 1 + 1 +74 + 10 - 19 - 3 = 74
and you could go on and on with these numbers changing them to numbers
without the 2 and the 8.
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Rahul Jain Mr. Ellsworth's fourth grade class Center school Stow ,Mass
The way I got this problem is that first I looked at all the numbers
and tried to figure out what numbers could go into 84,12,22. So I started
thinking, I knew that 11 would go into to 22 then I figured out that 7
will go into 84 12 times so I did 7+7+7+7+7+7+7+7 etc., etc. until I
got to 84 then I did 4+4+4 which equals 12 then I subtracted 11-11 which
equals 22 then I got the Answer 74 which is the right answer.
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Riannon Delanoy from Mrs. Pensa's class - Center School - Stow MA
I knew that I could not use the 2 or the 8 so I had to break down the
numbers 12, 84, and 22. The 12 was broken down in to 11 and 1 which
equals 12. The 84 was broken down into 74 and 10. And 22 was broken
down into two 11s.
11 + 1 + 74 + 10 - 11 - 11 = ?
The first 11 cancel to zero with the last 11. The 10 + 1 and the other
11 cancel to zero leaving the 74 as the answer. And I didn't even set
off the bomb!
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Sam Hahn Mrs. McCarthy 4th grade 2/9/96 - Center School Stow MA
How I got the answer was I tried to make the exact numbers 12.84.22 but
then I found that it was to high. Then I learned that the first few
numbers must add up to 12, the next few must stay around 62(62 because it
is the answer of the problem 84 subtracted by12, on the last number you
must see what the sum of the first two and from there make a mathematical
equation to equal 74 witch is the answer of the problem 12 + 84 - 22.
there are many answers to this problem here are some of mine.
1) 6+6+71+1-10
2) 11+1+61+1-0
3) 5+6+1+56+5+1-0
4) 6+6+79+5-11-11
5) 6+6+91-7-11-11
6) 6+6+99-13-14-10
7) 9+3+100-15-13-10
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Tim Sivret - Mrs. O'Connell's 5th grade class - Center School - Stow MA
I changed the 12 , 84 and 22 into different numbers and got the following
solutions:
10+ 1+1+74+10-10-10-1-1=54 or 5+5+1+1 +64+10-5-5-10-1-1=54.
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name: Anna Margush
grade: 4th
teacher's name: Tim & Gail Margush
school and location: Home Schooled - Akron, OH
Hi. I'm Anna's dad (Tim) and am typing Anna's solution.
She says to enter this on the calculator:
6 + 6 + 40 + 40 + 4 - 10 -10 -1 -1 -> answer is 74
[ 12 ]+ [ 84 ]- [ 22 ]
Another method might be:
13 - 1 + 94 - 10 - 33 + 11 -> answer is again
[ 12] + [ 84 ]- [ 22 ]
This could be done an infinity of ways!
--
Tim Margush margush@uakron.edu
The University of Akron (216) 972-7109
Department of Mathematical Sciences Akron, OH
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Edward Chau suggests that to solve the problem of the week
12+84-22 would be to think of it as 10+86-22 and then as 10+66-2 and then
as 10+64 which equals 74.
It is a thinking way to do this.
Edward is in Perth West Australia, in Year Six, in Mr Hall's class.
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My name is Lucie Rose and I am in 4th grade. My teachers are Shameem Rakha
and Colleen Brodie and my school is Leal School in Urbana, Illinois. I
figured a answer to the Elementary POW : 10+1+1+40+40+4-11+11
Answer12 + 84 - 22 = 74 becomes 11+74-11=74+1+10-11
I took 1 or one 10 from the eights or twos and the tens or
ones that I took away I put on the other side of the problem. So I
took one away from the twelve and I took ten away from 84
and I took eleven away from twenty-two. On the other side of
the equation, I added all of the numbers I took away together.
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This problem was solved by Ryan Cool Jennings
and Sais Tight Smith
6 name: Luis Mendoza
6 grade: fourth
79 teachers name: Paul Nass
+ 5 school: Georgetown Day School
--------- location: Washington D.C.
96
- 19
---------
77
- 3
----------
74
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Hi!,
We are Megan Klaas & Jessica Pounds from Mr. Roberts' 5th grade at
Whitehouse Elementary, Jax. Florida. We came up with 50 different answers.
First we added two numbers together then we subtracted a number from the sum
to get the answer of 74. If we were wrong we change a number or two, making
sure we did not use the numbers 2 or 8.Here are our answers.
1. 76+33=109-35=74 2. 59+46=105-31=74 3. 19+94=113-49=74 4. 71+33=104-30=74
5. 50+64=144-40=74 6. 95+44=139-65=74 7. 60+44=104-30=74
8.143+34=177-103=74
9. 10+95=105-31=47 10. 11+94=105-31=74 11. 50+90=140-66=74 12. 60+19=79-5=74
13. 44+65=109-35=74 14. 90+40=134-50=74 15. 70+37=107-33=74 16. 63+16=79-5=74
17. 145+46=191-117=74 18. 14+15=119-35=74 19. 49+41=90-16=74 20.
33+46=79-5=74
21. 40+50=90-16=74 22. 43+47=90-16=74 23. 74+33=107-33=74 24. 90+41=131-57=74
25. 67+43=110-36=74 26. 13+97=110-36=74 27. 34+43=77-3=74 28. 54+61=115-41=74
29. 19+56=75-1=74 30. 59+17=76-2=74 31. 64+47=111-37=74 32. 73+36=109-35=74
33. 46+69=114-40=74 34. 74+59=133-59=74 35. 54+37=91-17=74 36. 36+43=79-5=74
37. 49+65=114-40=74 38. 37+56=93-19=74 39. 70+34=104-30=74 40. 31+46=77-3=74
41. 90+19=109-35=74 42.51+96=147-73=74 43. 56+63=114-40=74 44.
54+53=107-31=74
45. 54+51=105-31=74 46. 77+34=111-37=74 47. 44+91=135-61=74
48.76+39=115-41=74
49. 91+44=135-61=74 50. 94+43=137-63=74
BY,
MEGAN KLAAS & JESSICA POUNDS
P.S. Sorry we did not put any more problems, but we thought 50 problems was
enough. If we could have put more sorry!
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One solution is to subtract 9 from the first two numbers in your head, and
add 9, to the third number in your head, - and add an extra 9
3+75-13+9=74
another solution is to add 19 to each of the first two numbers,subtract 19
from the third, in your head - and subtract 19
31+103-41-19=74
What's the surprise?
Me:Aneil Baron
Teacher:Paul Nass
School:Georgetown Day School
Grade:3rd grade
Place:Wasington D.C.
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The first thing we did was take the number 12. We chose the factor 3x4
because we couldn't use 1x12 or 2x6 because we couldn't use the 2
button. Next we found two factors for the number 84. At first we
thought of 12x7 but we couldn't use the number 2 button. So, we had
to use 14x6. Last, we had to find a pair or numbers to replace
- 22. We choose - 36 + 14. We found that some calculators give us
diffluent answers. Our scientific calculator knows how to work with
numbers. Our dumb calculators gave us the wrong answer of 134 instead
of 74.
Are Math Club worked together on this. I just had to write
this exspaniont.
April Leonard (Grade 2)
Olivehill Elementary
Trotwood, Ohio
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Here is the way we figured the calculator bomb problem. We know that we can
use other numbers for 2 and 8. Everyone worked on these for math class.
Here is what we think.
Billy and Corey:
6+6+55+17-10
Matt:
6+6+41+41+1+1-11-11=74 and 6+6+66+6-5+7-11-11-74
Whitney:
46+17+39-30+3-1 and 6+6+74+10-19-3=74 and 7+4+4-3+47+36+1-19+3
Bobbie Jo:
6+6+41+11+10=74 and 6+6+30+36-4=74
John:
1+1+4+6+70+14-10-11-1=74
Chris:
(6+6)+(67+7+10)-13-9=74
Kayte:
6+6+14+14+14+14+14+14-11-11=74 and 37+47-10=74
Richard:
6+6+14+14+14+14+10-4=74
Eric:
6+6+74-12=74
Amanda:
6+6+45+54-64+21+21+8-15=74
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The following are all students in Dr. Slomer's fifth grade class at
Rogers Elementary School, Shaler Are School District, Pttsburgh,
Pennsylvania
P.O.W. Feb. 5-9
Lara Ranallo
11+95-11-11=74
Jenna Gilbert
11+95-11-11-10=74
Stephanie Catanese
11+1+79+5-19-3=78
John Tiernan
3+9=12+70=82+14+96-11=85-11=74
3*4=12+70=82+14=96-11=85-11=74
1+11=12+70=82+14=96-11=85-11=74
7+5=12+70=82+14=96-11=85-11=74
6+6=12+70=82+14=96-11=85-11=74
Kris Slomer
74
Allison Cullen Doyle
96-11-11=74
Danielle Feris
The number you'd use are 5,94 and 19.how I got it:
12-7=5 put the seven onto 84 wich is 91 take away 3 from 22 onto 91
and equals 94.
Christina Burgander
On your calculator press 11+1 which will get you 12. Then press
84+11=95+1 then press -10 which will get you to 86. Then you press
-10 again which will get you to 76. Then -1 then you'll have 75 then
-1 again to get 74.
Kirk Thompson
You would raise 84 to 95 by taking 11 of the twelve. The 12 would
turn into a 1 when you take 11 away. Then type in the calculator
95+1= The calculator will show 96. Then press-11-11. That will give
you the correct answer, 74. That is how to debug the bomb.
Brad Jadlowiec
You would add 6+6=12+41+41=94+1+1=96-11=87-11=74
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We found many ways to solve the problem. Here are some ways.
1.) 11+1 +74+10-11-11=74
2.) 10+1+1+75 +9-10-10-1-1=74
3.) 10+10+30+15+10-1=74
4.) 7+5+55+10+10+9-11-11=74
5.) 16x6-31+9=74
6.) 73+1=74
7.) 63+1+10=74
8.) 71+16-13=7414x6-11-11+6+6=74
These are only some of our answers but we think we could type for days and
come up with a million ways.
______________
From: John, Patrick, Giul, Lizzie, Vicky, Chris, Ted, Jessica, Danny,
Barbara, Simon, Keri,and Stephen. We are fourth grade students from Drexel
Hill School of the Holy Child, in Drtexel Hill, PA. Our teacher is Mrs.
Yantosh
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Amanda Tuminelli, Christine McGowan, Kim Fugok, and Ryan Grace - Grade 6
Caroline Brennan,Drexel Hill School of the Holy Child, Drexel Hill, PA
We noticed that there were many ways to enter the value of 12, 84, and 22
into the calculator without using the digits 2 and 8. These are the
different solutions we came up with after 45 minutes.
1. (1 + 11) + (79 + 5) - (19 + 3)
2. (1 + 11) + (77 + 5) - (17 + 5)
3. (1 + 11) + (76 + 4 + 4) - (16 + 6)
4. (3 + 9) + (71 + 13) - (15 + 7)
5. (4 + 4 + 4) + (70 + 14) - (14 + 4 + 4)
6. (6 + 6) + (69 + 15) - (13 + 9)
7. (3 + 3 + 3 + 3) + (60 + 4 + 4 + 16) - (11 + 11)
8. (4 + 3 + 5) + ( 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 4) - (10+10+1+1)
9. (6 + 3 + 3) + ( 73 + 7 + 4) - (9 + 1 + 10 + 1 + 1)
10. (6 + 1 + 1 + 1 + 3) + (10 x 5 + 10 x 3 + 4) - (7 + 4 + 7 + 4)
11. (1 + 1 + 10) + (10 + 5 + 5 + 10 + 50 + 4) - ( 5 + 6 + 1 + 10)
12. ((13 - 1) + (90 - 6) - ( 33 - 10 - 1)
13. (15 - 3) + (91 - 7)- (7 x 3 + 1)
14. (16 - 4) + (10 x 4 + 40 + 4) - (7 + 1 + 3 + 7 + 1 + 3)
15. (3 + 3 + 6) + (4 x(11 + 11)- 4) - (5 + 1 + 6 + 5 + 5)
16. (3 x 4) + (7 x 10 + 14) - (5 x 5 - 3)
Caroline Brennan,
Math and Reading Teacher
Drexel Hill School of the Holy Child
450 Penn Avenue
Drexel Hill, Pa.19026
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Bobby Tucker, Arthur Clausnitzer, Jessie Shackleton, Jason Gullifer,
Steven Puopolo, Katie Steimer, Katy Pelletier, Kristina Borges
Grade 5
Miss Flynn
Bagnall School, Groveland, MA
Bobby: I did 14x6 for 84, then I did 6+6 for 12 and added those two
numbers together. Then I subtracted 11 2 times. My answer was 74.
Katy and Kristina: We did 10 + 70 - 19 + 3 + 10 and it equaled 74.
Katie S: You add 6 + 6 to get the 12 then add 41 and 41 to that then add
2 to that then subtract 77 then subtract 3 and that gives you 74.
Steven: I got it by thinking two and eight put together are 28 so I tried
to figure out what would equal 28 so I thought 12 and 16 would equal 28.
Jason: First add 13 (to avoid pushing a 2) to 94 (to avoid
pushing an eight), then subract 33 to avoid pressing the 2's. The answer
is 74.
Jessie: 10 + 79 - 19 =70. Then add on 2 or 8 in your head to get the
answer 74.
Arthur: I added 13 and 94 then subtracted 33. It equals 74.
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Mark Burke, Abby Garland, Megan Martin, Nicole Curry
Grade 5
Mrs. Crawford
Bagnall School, Groveland
Mark: I took 1 away from the 84 and added it to the 12. Now I had 83 +
13. Then I took 2 from the 8 and added it to the 13. Now I had 33 + 63
= 96. I subtracted 11 from 96 and then 11 from the left over 85 and I
got 74.
Abby: I took 12 and made it into 11. Then I took one more that made 12.
Then I took 84 and split it up to 40 and 44. Then I took 10 and
subtracted 11 and it equals 75.
Megan: I took 11+1 for the 12. I used 41 and 43 to make the 84. Then I
subtracted 16 and then 6 to get the 22. 11 + 1 + 41 + 43 -16 -6= 74
Nicole: 4x3 + 40 +40 -10 -7 -1= 74
10+1+1 +10 x4 +4 -10 -7 -1=74
11+1 +41 +41 +1 +1 -10 -13 +1 = 74
I tried to solve it using a calculator. I came out with three different
ways. I found writing it, I would write a 2 or an 8 but by using a
calculator, I didn't press those numbers.
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We are in fourth grade in Mrs. Hirns class and we are answering the
problem
where someone bugged our caclulator with a bomb.
6+6+41+43-11-11=74
3+3+3+3+41+43-11-11=74
1+1+1+1+1+1+6+43+41-10-7-4=74
1+1+1+3+6+41+43-11-11=74
1+1+1+1+1+1+1+1+1+1+1+1+41+43-10-1-7-4=74
6+3+3+10+10+1+10+10+3-5-5+3-1-1-11=74
1+1+1+1+1+1+10+10+40+7+1=74
1+1+1+1+1+1+1+1+1+1+1+3+15+5+5+6+3-55+3-1-1-11=74
10+10+10+10+10+10+10+10-4-2=74
10+10+10+10+10+10+10+4=74
10+10+10+10+10+10+10+1+1+1+1=74
10+10+10+10+10+10+10=10-4-1-1=74
10+10+10+10+10+10+10+0-10+1+1+1+1=74
10+10+10+10+10+10+5+5+4=74
6+3+1+1+1+41+43-10-10-1-1=74
6+3+43+1+1+1+41-1-1-10-10=74
6+3+1+1+1+41+43+4-5-5-5-5-1-1=74
6+3+1+0+1+1+41-5+43-5-5-5-1-1=74
6+1+1+1+3+0+41+43-5-5-5-5-5-1-1=74
We got our answers by mixing up the example that you gave us and finding
different names for the same number.
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Hi. This is Matt, Dan, Greg , Lena and Colleen. We are in Ms. Duggan's class
in Munsey Park School. We have 15 answers that are all different ways. First
we started working with different ways to get 12 ,84,22 without using 2 or 8.
Then we found out that all answers have to equal 74 since the problem does.
This one we got first:
6+6+79+6-11-11
And here are our other answers:
1+1+10+60+19+5 -11-11
4+4+4+75+9-19-3
3+3+3+3+74+5+5-17-5
1+11+70+14-10-10-1-1
7+5+40+40+4-10-10-1-1
6+5+1+60+10+10+4-19-1-1-1
10+1+1+50+30+4-10-11-1
11+1+79+5-19-1-1-1
9+1+1+1+40+41+1+1+1-17-5
5+5+1+1+50+30+1+3-10-10-1-1
3+3+6+30+30+10+10+4-19-6+3
4+4+5-1+70+10+3+1-17-6+1
1+1+10+40+43+1-15-5-1-1
1+1+1+1+1+5+1+1+77+7-11-14+3
11 + 1 + 73 + 11 - 11 - 11 = 74
6 + 6 + 79 + 5 - 19 - 3 = 74
Two answers submitted by Evan Mossman, Todd Feiler, Matt Spindler, 4th
grade.
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Danielle Gugger and Jillian Martel
Grade 6
Mrs. Christopher
Bagnall School, Groveland, MA
First we thought about the equation 12+84-22=74. Then we divided 12 and
thought of other things that added or multiplied up to 12, 84, or 22 and
thought of more than 1 possibility. We came up with many different
equations but only wrote 3 down.
6+6+40+44-11-11=74; 9+4-1+40+11+11=74; 3x4+40+44-10-10-1-1=74;
**********************************
Brian Griffiths, Brent Durkee, Brian Quattrochi, Ian Gugger, Haley
Angelini, Tim Foley, Lindsay Bonfanti, Nisha Hughes, Talia Racca, Kathryn
Mullen, Billy Mavroides, Rick Piatti, Jason Saldi, Liz Pelletier,
Christine, Scott Luken, Richard Cyr, Alexis Karavedas, Meagan, Donnie
Alyward
Grade 6
Ms. Lemieux
Bagnall School, Groveland, MA
Donnie: 6+6+40+40+4-11-11=74; 6+5+5+40+40-11-11=74; 8+4+42+42-11-11=74
10+2+42+42-11-11=74; 11+1+42+42-11-11=74; 8+4+42+42-9-13=74
9+3+42+42-8-14=74; 7+5+42+42-4-18=74
I switched the numbers around to get the answers.
Meagan:6+6+40+40+4-11-11=74; 6+5+5+40+40-11-11=74; 8+4+42+42-11-11=74
10+2+42+42-11-11=74; 8+4+42+42-9-13=74; 9+3+44+40-8-14=74; 11+1+44+40-8-14=74
8+4+41+43-9-13=74
I just broke down the numbers then I switched the numbers around.
Richard: First I added 12 with 84 and then I subtracted 22 and got 74.
To get 74, without using a 2 or an 8 I did 1x74.
Scott and Christine: First I split up 12 then I split up 84 and did the same
thing for 22.
6+6+40+40+4-11-11=74; 4x3+14x6-10-10-1-1; 5+5+1+1+4x19+4+4-3x6-4=74
Liz: I easily thought of numbers that added up to 12 then numbers that
added up to 84 without using 2 or 8 then I multiplied or added to get 22.
9+3+43+41+7x3+1=74; 6+6+37+47+11+11=74; 11+1+69+8+4x4+8=74; 11+1+10+45+7=74
14+14+14+14+10+10=74;6+6+6+8+14+15+1+1+14+3=74; 9+3+74-10-11-3=74
4+9+4+1+13+9+15=74
Kathryn: I took numbers that = a number without using 2 or 8 and if the
number was off, I'd balance it.
6+6+53+ 31-11-11=74; 1+11+43+41-15-7=74; 9+3+71+13-33+11=74
Talia: I was able to solve it by thinking of any numbers but not 2 or
8. Once I got the answer, I would subtract by number that didn't use 2
or 8 to get 74.
44+44-14=74; 45+43-14=74; 35+94-55=74; 100+74-74=74; 64+56-54=74; 48+39-13=74
Nisha:I took numbers that added or multiplied or subtracted together
without using 2 or 8 to get my answers.
6+6+41+41+1+1-11-11=74; 4x3+44+44-4-19-3=74; 3x4+30+54-10-10-1-1=74
9+3+70+14-15-7=74; 11+1+79+5-4-4-9+74; 7+5+41+43-7x3-1=74; 11+1+37+47-13-9=74
Lindsay: I took two numbers that equaled 12 (6+6). Then I added 4+4 that
equaled 8. So far I have 20. I multiplied by 4 and it equaled 80. Then
I subtracted 11 and added 5 to get 74.
Tim: 16x6-11-11=74; 11x6+8=74; 8x5+34=74; 7x6+32=74; 4x9+40-2; 9x8+2=74
Haley: First I thought of things that would equal twelve without using 2
or 8. Then I thought of numbers that would equal 84, again not using 2
or 8. The last thing I did was think of something that equals 22 and
then I got 74 on 3 of them.
6+6+53+31-11-11=74; 1+11+43+41-15-7=74; 9+3+71+13-33+11=74
Brent: 6+6+41+43-11-11=74
Brian G.: First I added 6 and 6 to get 12. Then I added 79 and 5 and
then subtracted 11 twice to get 74.
Brian Q and Ian: 6+6+31+53-11-11=74; 3x4+31+53-11-11=74; 3x4+71+13-11-11=74
7+5+70+14-11-11=74; 9+3+69+15-11-11=74
****Jason came up with 21 solutions, Alexis has 34 and Billy and Rick
came up with 71. You'll excuse me if I don't type them all in - I already
have
typer's cramp.****
Jason's explanation: I figured out the different numbers you could add to
get 96 then the numbers that added to 22 so you could subtract that from
the 96. Sample 9+3+71+13-11-11=74
Alexis's explanation: I thought of numbers that when added up equal the
sum of 74 without using 2 or 8 because the bomb would go off.
Sample: 14+66-6=74
Billy and Rick's explanation: We're smart! Just take 74, add a number to
it and then subtract the same number. Sample:74+9-9=74
*** They also have more traditional responses.*** Sample: 44+34-4=74
I found out 5 ways to do it.Well,not exactly5.My dad did two ways and I did
three.Once he did 2 ways,I pretty much understood.I did it with a
calculator,of
course.We divided 12 up,5 different ways.We divided 84 and 22 up,5 diferent
ways,and this is what we
got.11+1+71+13-19-3,6+6+75+9-11-11,9+3+77+7-6-5-6-5,7+5+73+11-10-1-1110-1,and
3+9+70+14-19-3 all = 74.
from Rebecca
**********************************
Tommy Grace, Grade 5, Paul Nass, Georgetown Day School, Washington, D.C.
(6+6) (12)
+ (44+40) (84)
- (11+11) (22)
_________________
74
**********************************
David Goodin, Billie Jo Cook, Joshe Roche
Grade 5
Miss Ladyszewski
Bagnall School, Groveland, MA
David: I split the numbers in half and some I split in different groups.
6+6+35+35+4-11-11=74
Billie Jo: Take 1 from 12=11, Take ten from 84=74, Add 11 to 11 to 74 to
get 96 then subtract 11(=85) and subtract 11 again to get 74.
Josh: I wrote the number without 2 and 8 by breaking them into smaller
numbers. 11+1+5+79=96-17=79-5=74
1. 44+40+11+1-11-11=74
2. 79+5+10+1+1-11-11=74
3. 70+14+9+3-11-11=74
4. 40+40+4+11+1-11-11=74
5. 30+54+11+1-11-11=74
6. 73+11+11+1-11-11=74
7. 10+70+4+8+4-19-3=74
**********************************
Shane, Mike, Christopher
Lincoln Elementary
3rd grade Mrs. Kaye's class
Reply to: Janet Rimmel, O'Hara Elementary, Pittsburgh, PA 15238
E-mail address: jrimmel@chapel.fcasd.edu
Molly Howard
First you change 12 to 17 since you can't use 2. Next I changed 84 to
79 and added 17 and 79 together and then subtracted 11 and then 11 again
to get the answer 74.
Zachary Chicko
I added 10+1+1=12. Then you add 12 + 74 +10 = 96. Then you go
96-10-10-1-1=74.
Casey Vogel
I did 41 + 43=84 then I did 6+6=12 then I did 11+11=22. So I added them
up then I subtracted 11 and 11 off of 96. That is 74.
Nishan Williams
I added 10+10+10+10+10+10+10+10 and added 4 to get 84. Then I did 11+1
to get 12 and then subtracted 11 and then another 11 to get 22. My
final answer was 74.
Sarah Casey
10+1+1+40+40+4-10-10-1-1=74
The ten and the two ones are made from the 12, because you can not use
the 2. The forty, forty, and the 4 are from 84, and you add them all
together and get 96 and you subtract 10, 10, 1, and 1 equals 74.
Yaara Taasan and Anne Overmyer
I added 10 +1+1 for the 12, and then 10+70+4 for the 84. That equaled
96. Then I subtracted 11-11 and got 74. And that's the answer.
Andrew Epstein
I added 10+1+1=12 +10+10+10+10+10+10+10+10+4=94-10-10-1-1=74
Molly Finley
First you do 10+1+1=12. Then press 40+40+4=84. Then you press
-10-10-1-1=74. And then that's your answer.
Josh Wein
I added 10+1+1=12 then you add 12+74+10=96. Then you go
96-10-10-1-1=74. There is a couple other ways to solve it. Another way
is 11+1=12 then you add 12+70+14=96. Another way is
10+10+10+10+10+10+10+4=74.
Julia Wang
12+84-22 changed to:
1+95-10-10-1-1=74
I couldn't use the numbers 2 or 8 so I added or subtracted 11. I
changed 12 to 1 by subtracting 11. Now I needed to add 11 to 84 because
84 was too little of an amount. I subtracted 10-10-1-1 because that
equaled 22.
Mike Lombardi
70+10+4=84+13-1=12-11-11=74
Asley Noro and Eileen Froehkle
First you take 6+6 and get 12. Then you add 71+13 and get 84. Then you
subtract 11+11 and get 74.
Dena Stroje
First I added up 10 +1+1=12. Next I added 40+40=80 and than plus four.
That equals 84. After that I subtracted 10-10-1-1 and when those
numbers are added together that equals 22 so all together I subtracted
22. My answer was 74.
Jason Stumpf
10X7=70 70+4=74 I did 10X 7=70 then 70+4=74
David Braden
I made 12 into 10+1+1.
I made 84 into 70+10+4
I made 22 into -1-1-1-9-10
10+1+1+70+10+4-1-1-1-9-10=74
Carey Skwortz
96-19=3 12+5=17 84-5=79 add 17+79=96 subtract 22-3=19. 96-19-3=74.
74 is the correct answer.
Hillary Smith
First I did 11+1=12 then I did 74+10 to get 84 then I subtracted 11
twice and got 74.
**********************************
THIS IS MY ANSWER.I BROKE THE NUMBERS DOWN AND ADDED.
9+3+33+51=96-16-6=74
6+6+35+49=96-15-7=74
7+5+41+43=96-17-5=74
LISA SIMMONS
GRADE 6
IHM SCHOOL
**********************************
The answer to the problem of the week (Feb 5-9) from Katie G. ,Jefferson
Road School, Pittsford, New York :
1. 7 + 79 - 17 = 69 + 5 = 74
(12-5)+ (84-5) - (22-5)
2. 5 + 77 - 15 =67 + 7 = 74
(12-7) + (84-7) - (22-7)
3. (3 X 4) + 79 + 5 -11 -11 = 74
4. 31 + 103 -41 =74
5. 33 + 105 - 43 = 95 -21 =74
**********************************
My name is Jamie Detzel. I am in the 6th grade at Saxonburg Elementary
School near Butler, PA. Here is my answer for the calculator problem.
Type in this to get it ...
4 * 3 + 6 * 14 - 11 - 11 = . This will give you the right answer!
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