How much was the check she received?

Question

She spent fourth of her check on makeup, then put half of what remained in the bank and used the remaining $42 to pay off a ticket. How much was the check for?

Answer 1

If x is the value of the check, she spent x/4 on makeup and kept 3x/4.

She put half of this in the bank, 3x/8, and kept 3x/8=42. 

x/8=14 so x=$112.

CHECK: she spent $28 on makeup, leaving $84. She put $42 in the bank and spent $42 on the ticket.