SOLUTION: A coin purse contains 24 coins in dimes, quarters and half-dollars. There are five more dimes than quarters. the total value of the coins is 5.45. How many dimes are in the coin

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Question 615206: A coin purse contains 24 coins in dimes, quarters and half-dollars. There are five more dimes than quarters. the total value of the coins is 5.45. How many dimes are in the coin purse?
I tried setting up an amount/cost/value chart, but trying to obtain the value for half dollars is stumping me and it is making me mess up the whole problem. Thank you for your help!
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
d + q + h = 24

10d + 25q + 50h = 545 ___ 2d + 5q + 10h = 109

d = q + 5

substituting ___ (q + 5) + q + h = 24 ___ 2q + h = 19 ___ 20q + 10h = 190

substituting ___ 2(q + 5) + 5q + 10h = 109 ___ 7q + 10h = 99

subtracting equations (to eliminate h) ___ 13q = 91

solve for q, then substitute back to find d and h