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Linear Equations in One Variable

SAT Math· difficulty 3/5

A 30-question test has 5-point and 2-point questions, totaling 90 points. How many 5-point questions?

  • A

    10

    check_circle
  • B

    20

  • C

    15

  • D

    12

Explanation

a+b=30a + b = 30, 5a+2b=905a + 2b = 90. Sub: 5a+2(30−a)=905a + 2(30-a) = 90 → 3a=303a = 30 → a=10a = 10.

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