Ian has 10 fewer dimes than quarters. He has 5.30. Find the number of quarters and dimes Ian has.
0.10d + 0.25q = 5.30
d = q - 10
0.10(q - 10) + 0.25q = 5.30
0.10q - 1 + 0.25q = 5.30
0.10q + 0.25q = 5.30 + 1
0.35q = 6.30
q = 6.30/0.35
q = 18
d = q - 10
d = 18 - 10
d = 8
Ian has 8 dimes (d) and 18 quarters (q)