Answer:
175 dimes and 75 quarters
Step-by-step explanation:
Make a system of equations, where d is the number of dimes and q is the number of quarters:
d + q = 250
0.1d + 0.25q = 36.25
Solve by elimination by multiplying the top equation by -0.1:
-0.1d - 0.1q = -25
0.1d + 0.25q = 36.25
0.15q = 11.25
q = 75
Then, plug in 75 as q into one of the equations to solve for d:
d + q = 250
d + 75 = 250
d = 175
So, there are 175 dimes and 75 quarters
