SOLUTION: Turtle and Vince combine their coins to find they have all dimes and quarters. They have 8 more quarters than dimes, and the coins are worth a total of $5.15. How many dimes and qu

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Question 1135852: Turtle and Vince combine their coins to find they have all dimes and quarters. They have 8 more quarters than dimes, and the coins are worth a total of $5.15. How many dimes and quarters do they have ?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
d dimes
d+8 quarters

OR

q-8 dimes
q quarters
-
0.25q%2B0.1%28q-8%29=5.15
--
20%280.25q%2B0.1%28q-8%29%29=20%2A5.15
5q%2B2%28q-8%29=103
7q-16=103
7q=119
highlight_green%28q=17%29----------quarters
.
.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Without formal algebra....

(1) First count the 8 "extra" quarters; that's $2.00. What remains is equal numbers of quarters and dimes worth a total of $3.15.
(2) 1 quarter and 1 dime together are worth $0.35.
(3) $3.15 divided by $0.35 is 9; so the remaining coins are 9 quarters and 9 dimes.
So together what they have is 9 dimes and 9+8=17 quarters.