SOLUTION: lindsay has $4.55 in change, all dimes and quarters. If she has 29 coins in all, how many of the coins are quarters?

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Question 1001664: lindsay has $4.55 in change, all dimes and quarters. If she has 29 coins in all, how many of the coins are quarters?
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
d = number of dimes
q = number of quarters

d + q = 29
10d + 25q = 455

Multiply the first equation by 25. We are going to eliminate the variable q.

25d + 25q = 725
10d + 25q = 455

Subtract to get 15d = 270, so d = 18.

Lindsay has 18 dimes and 11 quarters.