Question

Thomas has $6.35 in dimes and quarters. The number of dimes is three more than three times the number of quarters.

If q represents the number of quarters, then which of the following expressions represents the value of the number of dimes in cents?

Answer 1

x = quarters
.....3x + 3 = dimes
....0.25x + 0.10(3x + 3) = 6.35
....25x + 10(3x + 3) = 635
....25x + 30x + 30 = 635
....55x = 605
....x = 11 quarters
....3x + 3 = 36 dimes