Xavior took a total of 124 quarters and dimes to trade in for cash at the bank. He got exactly $25 back. How many quarters did he have?
A.
40
B.
62
C.
84
D.
100
Let's let x be the number of quarters and y be the number of dimes.
We are told that the total number of quarters and dimes is 124, so we have the equation x + y = 124.
We are also told that Xavior got $25 back, so we have the equation 0.25x + 0.10y = 25.
Multiplying the first equation by 0.10, we get 0.10x + 0.10y = 12.4.
Subtracting this equation from the second equation, we get 0.25x - 0.10x = 25 - 12.4.
Simplifying the equation, we get 0.15x = 12.6.
Dividing both sides of the equation by 0.15, we get x = 84.
So Xavior had 84 quarters. Answer: \boxed{\text{(C) }84}.