Question

jerry has 60 coins consisting of quarters and dimes. The coins combined value is $9.45. Find out how are quarters and how many are dimes.

Answer 1

Eq. 1 .10x + .25y = 9.45
Eq. 2 x + y = 60 rewrite as x = 60 - y and substitute into equation 1.

.10(60 - y) + .25y = 9.45
6 - .1y + .25y = 9.45
6 + .15y = 9.45
.15y = 3.45
y = 23
60 - 23 = 37

23 quarters
37 dimes


23* .25 = 5.75
37 * .1 = 3.70
5.75 + 3.70 =9.45