Question

Jim has some nickels, dimes and quarters worth $5.30. There are five times as many dimes as quarters, and six more nickels than dimes. How many of each kind of coin does he have?
PsyDAG
5D = Q

D + 6 = N

.05N + .10D + .25Q = 5.30

Substitute terms.

.5(D+6) + .10D + .25(5D) = 5.30

Solve for D, then N and Q.