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A newspaper carrier has $7.30 in change. He has four more quarters than dimes but four times as many nickels as quarters. How many coins of each type does he have?
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A newspaper carrier has $7.30 in change. He has four more quarters than dimes but four times as many nickels as quarters. How many coins of each type does he have?
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Nov 20, 2018
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A newspaper carrier has $7.30 in change. He has four more quarters than dimes but four times as many nickels as quarters. How many coins of each type does he have?
Mathematics
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Dlondero
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Dlondero
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Let d be dimes. Then quarters would be d+4; and nickels would be 4(d+4). Then:
.05(4d+16)+.1d+.25(d+4)=7.3
.2d+.8+.1d+.25d+1=7.3
.55d=5.5
d=10
Plug d=10 to get quarters and nickels. ☺☺☺☺
David Groomes
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Nov 26, 2018
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David Groomes
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