Question

A class contributed $19.00 in quarters and dimes to a local shelter. In all there were 100 coins. How many of each kind were there?​

Answer 1

Explanation:

x = number of dimes

y = number of quarters

x + y = 100

x = 100 - y

0.1x + 0.25y = 19

0.1(100 - y) + 0.25y = 19

10 - 0.1y + 0.25y = 19

10 + 0.15y = 19

0.15y = 9

y = 9/0.15 = 60

x = 100 - y = 100 - 60 = 40

there were 60 quarters and 40 dimes.