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John has 18 coins worth $1.25. Some are nickels and dimes. How many of each does he have?

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X nickels.
(18-X) dimes.

5x + 10(18-X) = 125 Cents.
5x + 180 - 10x = 125
5x = 180-125 = 55
X = 11

(18-X) = 18-11 = 7.

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