Laverne has sixty-one coins, all of which are dimes and quarters. If the totoal value is $9.85, how many of each kind of coin she has?

Answer 1

Let D be the number of dimes and Q be the number of quarters. Use algebra.

D + Q = 61
10 D + 25 Q = 985

Solve that pair of equations.

10 D + 25 (61 -D) = 985
15 D = 540
D = 36
Q = 61 - 36 = 25