SOLUTION: Hershey has 202 pesos in 5 pesos,1 peso and 10 pesos. She has three times as many as 1 peso as 5 pesos and 5 more 10 pesos than 1 peso. How many coins of each kind has she?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Hershey has 202 pesos in 5 pesos,1 peso and 10 pesos. She has three times as many as 1 peso as 5 pesos and 5 more 10 pesos than 1 peso. How many coins of each kind has she?      Log On

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Question 176135: Hershey has 202 pesos in 5 pesos,1 peso and 10 pesos. She has three times as many as 1 peso as 5 pesos and 5 more 10 pesos than 1 peso. How many coins of each kind has she?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let O be the number of one peso coins.
Let F be the number of five peso coins.
Let T be the number of ten peso coins.
"Hershey has 202 pesos"
1.O%2B5F%2B10T=202
"three times as many as 1 peso as 5 pesos"
2.O=3%2AF
"5 more 10 pesos than 1 peso"
3. T=O%2B5
or using eq. 2,
3. T=3%2AF%2B5
Use 2 and 3 and substitute into 1 and solve for F.
1.O%2B5F%2B10T=202
3F%2B5F%2B10%283F%2B5%29=202
3F%2B5F%2B30F%2B50=202
38F=152
F=4
From 2,
2.O=3%2AF
O=3%2A4
O=12
From 3,
3.T=3%2AF%2B5
T=3%2A4%2B5
T=17
Hershey has 12 ones, 4 fives, and 17 tens.