Question

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?

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