Andy has 27 coins made up of quarters and half dollars, and their total value is $\$ 9.25$. How many quarters does he have?
A) 17 quarters
B) 12 quarters
C) 10 quarters
D) 22 quarters

Question

Quizplus · Accepted Answer

Let the number of quarters be $q$ and the number of half dollars be $h$. We have two equations: $q + h = 27$ (since the total number of coins is 27) and $0.25q + 0.5h = 9.25$ (since the total value of the coins is $9.25). Solving these equations simultaneously, we find that $q = 17$ and $h = 10$. Therefore, Andy has 17 quarters.

Andy Has 27 Coins Made Up of Quarters and Half $9.25\$ 9.25$9.25

Andy Has 27 Coins Made Up of Quarters and Half $\$ 9.25$