SOLUTION: alex collects dimes and quarters. he has 31.70 total. if he has 5 fewer dimes than quarters, how many of each does he have

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Question 893633: alex collects dimes and quarters. he has 31.70 total. if he has 5 fewer dimes than quarters, how many of each does he have
Answer by Alan3354(69443) About Me  (Show Source):
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alex collects dimes and quarters. he has 31.70 total. if he has 5 fewer dimes than quarters, how many of each does he have
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Using imagination and cleverness:
If he had 5 more dimes, it would be 32.20 total.
1Q and 1D = 35 cents.
3220/35 = 92 pairs of coins.
So he has 92 Q's and 87 D's
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The hard way:
10D + 25(D+5) = 3170
35D + 125 = 3170
35D = 3045
D = 87
Q = 92