Question 1203239
<pre>
Number of quarters: Q
Number of dimes:   63-Q

Expressing everything in terms of cents:

25Q + 10(63-Q) = 1080
15Q + 630 = 1080
15Q = 450  -->  Q = 450/15 = 30  --> number of dimes = 63-30 = 33  

--
Ans:
Number of quarters = 30
Number of dimes = 33

Check:
25*30 + 10*33 = 750 + 330 = 1080 (ok)