Question

A collection of 108 coins containing only quarters and nickels is worth $21.

A table titled Coin Collection showing Number of Coins, Value, and Total. The first row shows Nickels, and has n, 0.05, and 0.05 n. The second row shows, Quarters, and has q, 0.25, and 0.25 q. The third row shows total, and has not entries.

Answer 1

Let q be the number of quarters and n be the number of nickels.

q + n = 108 ----> .25q + .25n = 27

.25q + .05n = 21 -------> .25q + .05n = 21

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.2n = 6

n = 30, q = 78

78 quarters, 30 nickels