Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How many dimes are there?
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Detailed Explanation
Let x equal the number of dimes. Then 100 – x represents the number of quarters. There is 0.10x in dimes and 0.25(100 – x) in quarters.
0.10x + 0.25(100 – x) = 19.75
0.10x + 25 – 0.25x = 19.75
–0.15x = –5.25
x = –5.25/–0.15
x = 35
0.10x + 0.25(100 – x) = 19.75
0.10x + 25 – 0.25x = 19.75
–0.15x = –5.25
x = –5.25/–0.15
x = 35
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