SOLUTION: A purse contains $7.60 in quarters and dimes. In all, there are 40 coins. How many coins of each kind are there?

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Question 945302: A purse contains $7.60 in quarters and dimes. In all, there are 40 coins. How many coins of each kind are there?
Found 2 solutions by Alan3354, fion6002:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A purse contains $7.60 in quarters and dimes. In all, there are 40 coins. How many coins of each kind are there?
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q + d = 40
25q + 10d = 760

Answer by fion6002(19) About Me  (Show Source):
You can put this solution on YOUR website!
let x be the number of quarters
let (40-x) be the number of dimes
0.25x + 0.1(40-x) = 7.6
0.25x + 4 - 0.1x = 7.6
0.15x = 3.6
x = 24
Number of dimes = 40 - x = 40 - 24 = 16
Therefore there are 24 quarters and 16 dimes.