a purse contain $6.00 in quarters and dimes. there are 17 more quarters than dimes. find the number of quarters and dimes

Answer 1

number of dimes --- x
number of quarters --- x+17

value of money:
10x + 25(x+17) = 600 , all in cents
10x + 25x + 425 = 600
35x = 175
x = 5

so 5 dimes and 22 quarters.

check by finding the value of 5 dimes and 22 quarters.