Answer:
The bank has 95 quarters and 155 dimes.
Explanation:
If the bank has only quarters and dimes, and its total amount of coins is 250, then be x the amount of quarters it has, it will have 250−x dimes.
A quarter is worth 0.25, a dime is worth 0.10 and the 250 coins together are worth 39.25. Therefore, we have the following equation:
0.25x+0.1(250−x)=39.25
→0.25x+25−0.1x=39.25
→0.25x−0.1x=39.25−25
→(0.25−0.1)x=14.25
→x=14.25/0.15=95
→250−x=155