SOLUTION: A collection of dimes and quarters has a total value of $4.55. If there are 4 times as many dimes as quarters, how many of each coins is in the collection

Question 1103625: A collection of dimes and quarters has a total value of $4.55. If there are 4 times as many dimes as quarters, how many of each coins is in the collection
Found 2 solutions by Alan3354, richwmiller:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Each set of 4 dimes and 1 Q = 65 cents.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
25q+10d=455
4q=d
25q+10*4q=455
divide by 5
5q+8q=91
13q=91
q=91/13
q=7
d=28
check
25q+10d=455
25*7+10*28=455
175+280=455
ok
Alan's hint is saying to divide 455/65 which equals 7 to save time and effort.
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