Answer:
dimes = 32
quarters = 8
Explanation:
set up a system of equations:
let d = # of dimes
let q = # of quarters
d + q = 40
.10d + .25q = 5.2
substitution method; let 'q' = 40 - d
.10d + .25(40 - d) = 5.2
.10d + 10 - .25d = 5.2
-.15d = -4.8
d = 32
q = 40 - 32 = 8