Question 1010736
Call the amounts of each coin, d and q.  Then we have
d + q = 60   
The value equation is
10d + 25q = 1140  (we work in cents)
Now multiply the top one by ten and subtract and we get
10d + 25q = 1140
-(10d + 10q = 600)
-------------------
15q = 540
q = 36 quarters
d = 60-36 = 24 dimes