Sang-Jin has only quarters and nickels in her piggy bank. She has 66 coins in the bank with a value of $11.50.

How many quarters are in Sang-Jin's piggy bank?

Enter your answer in the box.

46 quarter would evenly go in that amount

Let x be quarters, and y be nickels.

0.25x + 0.05y = 11.50

x + y = 66

x = 66 - y

0.25 (66-y) + 0.05y=11.50

16.5 - 0.25y+0.05y = 11.50

16.5-0.2y=11.50

-0.2y=11.50-16.5

-0.2y=-5

-0.2y/-0.22=-5/-0.2

y=25

x+y=66

x + (25) = 66

x=66-25

x=41

So there are 41 quarters, and 25 nickels.