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Linear Equations in One Variable

SAT Math· difficulty 4/5

A vending machine takes only quarters and dollar bills. After a busy day, the machine has \45$ from 60 transactions. Each transaction is either 1 quarter or 1 dollar bill. How many quarter transactions?

  • A

    40

  • B

    20

    check_circle
  • C

    12

  • D

    25

Explanation

0.25q+d=450.25q + d = 45, q+d=60q + d = 60. Sub: 0.25q+(60−q)=450.25q + (60 - q) = 45 → −0.75q=−15-0.75q = -15 → q=20q = 20.

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