9514 1404 393
Answer:
12 quarters
20 dimes
Step-by-step explanation:
If all were dimes the value would be $3.20. It is $1.80 more than that. Each replacement of a dime with a quarter adds $0.15 to the value, so there must be $1.80/$0.15 = 12 such replacements.
There are 12 quarters and 20 dimes.
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Let q represent the number of quarters.
0.25q +0.10(32 -q) = 5.00 . . . . . total value
0.15q +3.20 = 5.00 . . . . . . . . . simplify
q = (5.00 -3.20)/0.15 . . . . . . subtract 3.20 and divide by 0.15
q = 12
