SOLUTION: i have ten coins made up of 5-peso and 10-peso coins.if these ten coins are worth 70 pesos, how many more 5-peso coins than 10-peso coins do i have?

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Question 1126969: i have ten coins made up of 5-peso and 10-peso coins.if these ten coins are worth 70 pesos, how many more 5-peso coins than 10-peso coins do i have?
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

Let:
F = number of five peso coins
T = number of ten peso coins

(1) F + T = 10 (from "I have ten coins…")
(2) 5F + 10T = 70 (from "…these ten coins are worth 70…")

5*(1) ==> 5F + 5T = 50
Subtract this from (2):
0*F + 5T = 20 —> T=4 —> F=6 —> F-T = +highlight%28+2+%29+

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Ans: You have two more five peso coins (6) than ten peso coins (4).
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Check: 4*10 + 6*5 = 40 + 30 = 70 (ok)