Elementary POW, October 16-20, 1995
Elementary POW Problems || October-December, 1995 Problems || Elementary POW Main Page
****************************************************** Elementary Problem of the Week, October 16-20, 1995 This week's problem was submitted by Andrea DiMaria, Mount St. Joseph Academy, Flourtown, Pennsylvania. Simon wants to tour the world. It costs $339.00 to travel to a city in Europe, $210.00 to travel to a city in North America, $408.00 to a city in Australia and $535.00 to a city in Asia, Antarctica, Africa or South America. Simon has $8000.00 to spend. His goal is to travel to each continent and see as many cities as possible. Plan a travel route for Simon starting from New York City so that he can see as many cities as possible without spending more than $8000.00. Name each city he has traveled to and the cost. **If you travel to a city beginning with the letter S, you may deduct $50.00 from the cost of traveling to that city. *When traveling from a city on one continent to another city on the same continent, cut the cost of normal travel to that continent in half. Example: New York City to San Francisco costs only $55 (half of $210.00 less the $50 discount for traveling to a city beginning with the letter S). ***Remember, Simon must return to New York City at the end of the trip. Bon Voyage! Enjoy your travels. *****************************************************
My students at Mount St. Joseph Academy in Flourtown, PA were amazed at all the work their math partners in the elementary schools put into this week's problem. They learned a lot of geography reading the replies. Special recognition to Katie Tobey in Mrs. O'Connell's 5th grade class. She made a wonderful colored map with all the continents and oceans and seas labelled. She mapped her continental voyage on this map for, showing how many cities she visited in each area! ****************************************************** 1. Other correct solutions were submitted by: Justin Beck, Gerald Lujan, Jennifer Berg, and Zach Price Alvarado Elementry 4th-5th grade Albuquerque, New Mexico Weekly Math Problem Center School teacher, Carol Kelley's class. This was done by a group of 5th graders: Katie Fleming, Katie Johnson, Erica Wysk, Meg Reed, Amanda Fryatt, Andrew Tomlinson, and Michael Farrar. These children spent numerous meetings debating the finer points of the problem. Jody Newman Center School Stow, MA 01775 Kurt Prenger and Steven Sommer Colleen Bahm 201 Jackson Street Wapakoneta, Ohio 45895 E-Mail Address: Bahmer@bright.net ****************************************************** 2. Solutions with a few minor errors were submitted by: Webster Batista and Jason Crotty in Mrs. O'Connell's 5th grade class at Center School in Stow MA. Submitted by Jenna and Jessica Grady Brown C.A.T.S. Linda Kubik Gifted and Talented Resource Teacher Grady A. Brown Elementary School Hillsborough, North Carolina, USA lkubik@stech.cnidr.org Joanne Gruber Colleen Bahm's class 201 Jackson Street Wapakoneta, Ohio 45895 E-Mail Address: Bahmer@bright.net Galen Seerup, Alexandra LaPointe, and Margaret Hoops of Grade 3, St. Mary's School, Ticonderoga NY. Teacher: Mrs. Joanne Cook. Robert Golder - Mrs. Palmbach's third grade Jody Newman Center School Stow, MA 01775 Tony, Ben, Kevin, Lynne, Samantha, Dana, and Liz, Ken, Bethany, Kyle and Carlene, Kim, Greg, Lora and Mike, Pat Comerford-Haley's class
Justin Beck, Gerald Lujan, Jennifer Berg, and Zach Price Alvarado Elementry
4th-5th grade:
Albuquerque, New Mexico
Weekly Math Problem
Answer:
North America $1045
San Antonio $55 Saltillo $55
Sacramento $55 Selkirk $55
Salt lake City $55 San Salvador $55
San Fernardo $55 San Fransisco $55
Saskatoon $55 Seatle $55
Sudbury $55 San Diego $55
Sioux Falls $55 Saint Louis $55
Sao Paulo $55 Santa Fe $55
Santa Cruz $55 Spokane $55
Sheridan $55
Europe $1006
Sevilla $289 St. Etienne $119.50
Sofia $119.50 Szczecin $119.50
Skopie $119.50 St. Vincent $119.50
Stuttgrat $119.50
Australia $974
St. George $358 Sandstone $154
Sydney $154 Sir Samuel $154
Shallborough $154
South America $702.50
Sao Felipe $485 Santiago $217.50
Asia $702.50
Serpukhou $485 Suzhou $217.50
Africa $920
Serowe $485 Suakin $217.50
Segou $217.50
India $2225
Surat $485 Sadiya $217.50
Shillong $217.50 Sri Lanka $217.50
Shimla $217.50 Solapor $217.50
Sirsa $217.50 Salen $217.50
Srinager $217.50
North America $420
Albuquerque $210 Kansas City $105
New York City $105
Total $7995.00
The first thing that we did was estimate how much we could spend in each
continent. Next we tried to find cities with the letter S. We started in
North America because it had the least amount of charge to travel from city
to city. Then we found the next continent that was the least amount to
travel from city to city, that was Europe. Then we did cities in any place
and we tried to get as close as we could to 8000.
******************************************************
Installment #2 from Center School teacher, Carol Kelley's class. This was
done by a group of 5th graders: Katie Fleming, Katie Johnson, Erica Wysk,
Meg Reed, Amanda Fryatt, Andrew Tomlinson, and Michael Farrar. These
children spent numerous meetings debating the finer points of the problem
and came up with the following solution....
LOCATION (Continent, City) COST BALANCE
Start in NYC $8000.00
South America Santarem $485.00
Africa Songea $485.00
Europe Southampton, U K $289.00
Asia Shanghai $485.00
Australia Sydney $358.00
Antarctica South Pole Station $485.00
North America Stow MA $160.00 $5253.00
Sacramento, CA $ 55.00
Sagamore, MA $ 55.00
St. Augustine, FL $ 55.00
St. Charles, IL $ 55.00
St. Clair, MI $ 55.00
St. George, UT $ 55.00
St. Georges, DE $ 55.00
Saint Germain, WI $ 55.00
Saint Helena, CA $ 55.00
St. Johnsbury, VT $ 55.00
St. Joseph, MI $ 55.00
St. Joseph, MO $ 55.00
St. Martinsville, LA $ 55.00
St. Petersburg, FL $ 55.00
Salem, MA $ 55.00
Salem, OR $ 55.00
Salina, KS $ 55.00
Salisbury, MD $ 55.00
Salt Lake City, UT $ 55.00
San Antonio, TX $ 55.00
San Bernardino, CA $ 55.00
San Diego, CA $ 55.00
San Fernando, CA $ 55.00
San Francisco, CA $ 55.00
San Gabriel, CA $ 55.00
San Joaquin, CA $ 55.00
San Jose, CA $ 55.00
Sandpoint, ID $ 55.00
Sandusky, OH $ 55.00
Sandwich, MA $ 55.00
Sanford, FL $ 55.00
Santa Monica, CA $ 55.00
Santa Paula, CA $ 55.00
Santa Rosa, CA $ 55.00
Santa Fe, NM $ 55.00
Sarasota, FL $ 55.00
Sausalito, CA $ 55.00
Savannah, GA $ 55.00
Savoy, MA $ 55.00
Schenectady, NY $ 55.00
Scotrun, PA $ 55.00
Scottsboro, AL $ 55.00
Scottsdale, AZ $ 55.00
Seattle, WA $ 55.00
Sebastopol, CA $ 55.00
Sebring, FL $ 55.00
Sedona, AZ $ 55.00
Sequim, WA $ 55.00
Shawnee, OK $ 55.00
Sheffield, AL $ 55.00
Sheffield, MA $ 55.00
Shelburne, VT $ 55.00
Shelton, WA $ 55.00
Shepherdstown, WV $ 55.00
Sheridan, WY $ 55.00
Shreveport, LA $ 55.00
Sidney, IA $ 55.00
Sioux City, IA $ 55.00
Sitka, AK $ 55.00
Smithville, NJ $ 55.00
Smithville, OH $ 55.00
Smyrna, DE $ 55.00
Snowshoe, WV $ 55.00
Solvang, CA $ 55.00
Sonoma, CA $ 55.00
Soperton, GA $ 55.00
South Bend, IN $ 55.00
South Sioux City, NE $ 55.00
Southfield, MI $ 55.00
Spiro, OK $ 55.00
Spokane, WA $ 55.00
Springdale, AR $ 55.00
Springfield, IL $ 55.00
Springfield, MO $ 55.00
Springfield, SD $ 55.00
Springfield, VT $ 55.00
Stamford, CT $ 55.00
Stamford, NY $ 55.00
Starkville, MS $ 55.00
Stockbridge, MA $ 55.00
Stockbridge, VT $ 55.00
Stonington, CT $ 55.00
Stonington, ME $ 55.00
Stormville, NY $ 55.00
Stowe, VT $ 55.00
Stratford, CT $ 55.00
Stronghold, MD $ 55.00
Stuart, FL $ 55.00
Sturbridge, MA $ 55.00
Sturgis, SD $ 55.00
Sun Valley, ID $ 55.00
Sundance, UT $ 55.00
Syracuse, NY $ 55.00 $138.00
New York City, NY $105.00 $ 33.00!
That's it for the Stow MA entries on this problem! Quite an interesting one
for all involved!
Jody Newman
Center School
Stow, MA 01775
******************************************************
Hi Alissa,
Great Job! You took Simon to many interesting places and stayed within his
$8000 budget. I got his total spent to be $7472. Does your total agree
with that?
Thanks for working so hard on this problem. I hope to hear from you again
soon.
Your Math Friend, Krista G. from Flourtown, Pennsylvania
fb^From Alissa Glading grade 4 St. Mary's school Ticonderoga NY
(18#w_'atUrr*m14 My name is Alissa Glading,
I go to St. Mary's School.I am in grade 4. First,go to
Europe.Stavanger,Skovde,Skien,Sandvika,Svensborg,Saragossa,
Seville,Sparta,Stuggart,Strasbourg,Salamance,Next go to
Australia.Scidney.Next go to Asia.Singapore,Next go to India.Surat,Next go
to Africa.Somerset East,Next go to South Africa.Santa Barbara,Next go to
North
America.Spokane,Seattle,Salem,Springsfield,Sacramento,Santa Rosa,
Sanfransisco,San Jose,Stockton,Sandiego,Santa Barbera,Santa
Maria,Salinas,Sparks,Salmon,Sidney,Sioux falls,Scotts Bluff,
Stirling,St.George,Salt Lake City,Scots Dale,Silvar City, Santafe (New
Mexico,)Sanantanio,San Angegello,Sherman,Shreveport,
Springsfield,St.Luis,St.Joseph,Superior,St.Paul,St.Cloud, Sceboygan,South
Bent,Saginaw,Sarasota,SomerSet,Selma,St.Petersburg,Syracuse,
Scranton,Staunton,Salisbury,St.John,Selkirk,Swift Current, Swan
River,Stugeen Falls,Sparks,Scotts Dale,Saltillo, Snowdrift,Stewart,Sious
Lookout,Slave Lake,Sault St.Marie, Sherbrooke,Sanluis,Santa
Rosalia,Saltillo,Sanluis Potosi, Salina Cruz,Santia Gode -Cuba,San
Juan,Santa Clara,Santa Anna, San Salvadore,Sanpedro,Sula,Springsfield.Last
you will end up in New York city.
******************************************************
Jenna & Jessica,
You did a fantastic job! You took Simon to many interesting places and you
were very organized with your chart. I just want to point out a few minor
errors that occured when Simon travelled to Asia and Australia (see below).
Keep up the great work. By the way, what does C.A.T.S. stand for?
Your Math Friend, Katie Flanagan (Flourtown, Pennsylvania)
We have a solution which includes 50 cities (all beginning with the letter
"S") plus the return to New York:
We would begin in North American and fly to the following cities for $55.00
each:
Syracuse, NY
St. John, New Brunswick
Savana, GA
St.Thomas, Virgin Islands
St. Petersburg, FL
Scranton, PA
Saginaw, MI
Saute St. Marie, MI
Springfield, IL
St. Paul, MN
Salem, MA
Sioux City, IA
San Antonia, TX
Sante Fe, NM
San Diego, CA
Sacramento, CA
San Francisco, CA
Salem, OR
Seattle, WA
Spokane, WA
Spenard, AK
Total $1155.00
Then we will fly to South America:
Santa Cruz, Boliva $485.00
Sao Paulo, Brazil 2l7.50
Santiago, Chile 217.50
Santa Fe, Argentina 217.50
Santa Marta, Columbia 217.50
Santo, Brazil 217.50
San Jose de Mayo,
Uraguay 2l7.50 Total $1790.00
Then we will fly to San Martin,Antarctica Total $485.00
Now we are off to Africa:
Spring Bok, South Africa $485.00
St. Louis, Senegal 217.50
Sowakin, Sudan 217.50
Safi, Morocco 217.50
Sawaaj, Egypt 217.50
Total $1355.00
Cross the Mediterranean to Europe:
Salerno, Italy $289.00
Skien, Norway 119.50
Sevilla, Spain 119.50
Strasbourg, Austria 119.50
Stadskanaal, Netherlands 119.50
Total $767.00
Now to Asia:
Sverdiovsk, Russia $485.00
Smyrna, Turkey 217.50
Salem, India 217.50
Surakarta, Indonesia 217.50
Saigon, Viet Nam 217.50
Shanghai, China 217.50
Shijiahuang, China 217.50
Sapporo, Japan 217.50
Total $1522.50
$485 + 7 x $217.5
$485 + $1522.50 =
$2007.50
Down Under to Australia:
Sydney, Australia $358.00
Shellharbour, Australia 217.50 I think these should be $154
Southern Cross, Australia 217.50 $408/2= $204 less $50 = $154
Total $793.00 Total $359 + 2 x $154
= $666
Back to New York City, USA $210.00
Grand Total $7962.50 When I add your totals $1155 + $1790 +
$1355 + $767 +
$1522.50 + $793 + $210,
I get a total of $7592.50.
The correct total is $7950.50 which still leaves Simon $49.50
for his cab ride & tip.
Assuming he lives in New York City this should leave him $37.50 for the cab
ride home plus a tip.
Submitted by Jenna and Jessica
Grady Brown C.A.T.S.
Linda Kubik
Gifted and Talented Resource Teacher
Grady A. Brown Elementary School
Hillsborough, North Carolina, USA
lkubik@stech.cnidr.org
******************************************************
These answers are being submitted by the 4th grade students in Mrs. Bahm's
Gifted Class in Minster, Ohio.
We did not have the time to find out how many cities Simon could get to in
one trip. Our goal was to see how cheaply we could get to all of the
locations mentioned in the directions.
Solution #1 Joanna Gruber
Hi Joanna,
Great job visiting all the locations on a cheap budget. We found one error
in your answer. It cost $485 to visit cities beginning with "S" in Asia,
India, Africa or S. America ($535 - $50). We think that maybe you mistook
the $535 for $515. Then your cost of $465 would be correct. Great effort in
answering the problem.
Your Math Buddies, Patty Ann Hanlon & Michele McNamara (Flourtown, PA)
CITY CONTINENT COST
N. Y. C. N. A. 0
San Lorenzo Is. S. A. 465.00
Sarajevo Europe 249.00
Sipura Islands Asia 465.00
Sabhah Africa 465.00
Sallisbury Is. Austraila 348.00
Sholapur India 465.00
NYC N.A. 210.00
Total $2667.00
-------------------------------------------------------
Solution #2 - Kurt Prenger
Hi Kurt,
Fantastic job! You helped Simon travel the world on a budget. He still has
$5203 to purchase souvenirs. He thanks you a bunch! Great job and keep
using your math skills!
Your Math Buddies, Patty Ann Hanlon & Michele McNamara (Flourtown, PA)
NYC N.A. 0
Boa Vista S.A. 535.00
Sarh Africa 485.00
Sofia Europe 289.00
Bombay India 535.00
Siraz Asia 485.00
Derby Australia 408.00
NYC N.A. 210.00
Total: 2947.00
--------------------------------------------------------
Solution #3 - Steven Sommer
Hi Steven,
Great job! You helped Simon travel to 7 continents and still have $5203
left over. You're a real math wizard! Keep up the great work.
Your Math Buddies, Patty Ann Hanlon & Michele McNamara (Flourtown, PA)
NYC N.A. 0
Sucre S.A. 485.00
Salisbury Africa 485.00
Stockholm Europe 289.00
Sverdlovsk Asia 485.00
Sydney Australia 358.00
Sinsa India 485.00
NYC N.A. 210.00
Total $2797.00
--------------------------------------------
Colleen Bahm
201 Jackson Street
Wapakoneta, Ohio 45895
E-Mail Address: Bahmer@bright.net
******************************************************
Dear Ruth:
A last minute straggler - sorry these have come in so disjointed.
Hi Webster & Jason,
You took Simon to a lot of interesting places. It was fun charting his
travels. There were a few small mistakes that I pointed out. I was
wondering why you hopped from one continent to another so often.
You could have saved Simon some money by visiting all the cities on one
continent
before he traveled to the next continent. You obviously put a lot of work
into this.
Thanks for answering our challenge. Keep up the good work!
Your Math Buddy,
Meg from Flourtown, Pennsylvania
This answer is from Webster Batista and Jason Crotty in Mrs. O'Connell's
5th grade class at Center School in Stow MA.
1. New York to Santa Fe = $485 *shouldn't this
be $55?
2. Santa Fe NM to Sierra Leone (AF) = $485 $210/2 - $50
3. Sierra Leone to Spain = $289
4. Spain to Saudi Arabia = $485
5. Saudi Arabia to Sydney = $358
6. Sydney to Micmerdo Station (Antarctica) = $535
7. Micmerdo Station to Salt Lake City UT = $55 *this should be $160.
8. Salt Lake City UT to Brazil = $535 $210 - $50
9. Brazil to Dudinka (Asia) = $535
10. Dudinka to Mali (Africa) = $535
11. Mali to Greece = $535 *should
this be $339?
12. Greece to Beijing (Asia) = 535
13. Beijing to Broome (Aust) = $408
14. Broome to Zaire (Africa) = $535
15. Zaire to Ulan Bator = $535
16. Ulan Bator to Cleveland = $210
17. Cleveland to Argentina = $535
18. Argentina to New York City = $210
19. New York City to Santa Fe = $55 *this is your
2nd stop at Sante Fe
20. Santa Fe to New York City = $55
Thanks again
Jody Newman
Center School
Stow MA 01775
******************************************************
Another entrant from the Center School, Stow MA. From Katie Tobey in Mrs.
O'Connell's 5th grade class. What I'm not able to send you is the wonderful
colored map which Katie printed out with all the continents and oceans and
seas labelled. She has mapped her continental voyage on this map for me to
follow, showing me how many cities she is visiting in each area! Thanks
again for providing this challenge! Jody Newman
LOCATION (Continent/City) COST TOTALS
Hi Katie,
You forgot to subtract $50 from many of the cities you had Simon first
visit on each continent because they began with "S", so your total amount
was $7277. You had Simon travel to all the continents including 49 cities.
Good Job! Just think, now Simon has extra spending money.
Your Math Buddy,
Katie Flanagan, Flourtown,
Pennsylvania
North America New York to
Skowhegan, ME to 55.00
Salyersville, KY to 55.00
Savannah, GA to 55.00
St. Augustine, FL to 55.00
Shreveport, LA to 55.00
St. Louis, MO to 55.00
Sioux City, IA to 55.00
St. Cloud, MN to 55.00
Sioux Falls, ND to 55.00
Scottsbluff, NE to 55.00
Salina, KS to 55.00
San Antonio, TX to 55.00
San Angelo, TX to 55.00
Seminole, TX to 55.00
Santa Fe, NM to 55.00
Salida, CO to 55.00
Sheridan, WY to 55.00
Seattle, WA to 55.00
San Francisco to 55.00 Total $1045.00
Asia
to Solon, China to 535.00
Sinkiang, China to 212.50
Shache, China 212.50
Stepnyak, Kazakhstan to 212.50
Salween China to 212.50
Surat, India to 212.50 Total $1597.50
Europe
to Sumy, Ukraine to 339.00
Sodankyna, Finland to 119.50
Sundsvall, Sweden to 119.50
Skien, Norway to 119.50
Swansea, United Kingdom to 119.50
Sligo, Ireland to 119.50
Strasbourg, France to 119.50
Spezia, Italy to 119.50 Total $1175.50
Africa
to Sabha, Libya to 535.00
Sokoto, Nigeria to 217.50
Sesfontein, Angola to 217.50
Siwa, Egypt to 217.50 Total $1187.50
Antarctica
to McMurdo Station to 535.00 Total $535.00
Australia
to Sydney, Soutern Wales to 408.00
Shark Bay, Western Australia to 154.00
Steep Pt., Western Australia to 154.00
Spencer G, Southern Aust.to 154.00
Soudan, Northern Territory to 154.00 Total $1024.00
South America
to Calamar, Colombia to 535.00
San Miguel, Argentina to 217.50
Sucre, Bolivia to 217.50
Sano Jose, Columbia to 217.50 Total $1187.50
North America
to New York City, NY 210.00 Total 210.00
Total for Travel: $7,962.00
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