Linear Equations in One Variable

SAT Math· difficulty 4/5

The cost of 33 apples and 22 pears is 4.50.Thecostof4.50. The cost of 1appleandapple and1pearispear is1.75. What is the cost of one apple?

  • A

    $1.00

    check_circle
  • B

    $1.50

  • C

    $0.75

  • D

    $1.25

Explanation

From a+p=1.75a + p = 1.75, get p=1.75ap = 1.75 - a. Substitute: 3a+2(1.75a)=4.503a + 2(1.75 - a) = 4.50, so a+3.50=4.50a + 3.50 = 4.50 and a=1.00a = 1.00.

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