Question

Chandra has $36.25 in dimes and quarters If she has 250 coins in total, hwo many

of each coin are there?

Answer 1

175 dimes and 75 quarters

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