A tin can collecting money on a store counter for the holiday season contains $15.89 in quarters and dimes. if there are a total of 74 coins, how many of each coin are in the tin?

Question

Valerie Edwards

Mathematics

30 December, 22:36

A tin can collecting money on a store counter for the holiday season contains $15.89 in quarters and dimes. if there are a total of 74 coins, how many of each coin are in the tin?

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Answers (1)

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Bernie · Answer 1

x=quarters y=dimes

x+y=74

.25x+.10y=15.89

then substitute one equation into the next so ...

y=74-x

.25x+.10 (74-x) = 15.89

.25x+7.4-.10x=15.89 then simplify

.15x=8.49

x=56.6 round up so 57 quarters

to find y just plug in x so ...

57+y=74

y=17