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Linear Equations in One Variable

SAT Math· difficulty 3/5

A box contains 55-point and 1010-point question cards. There are 30 cards totaling 230 points. How many 55-point cards?

  • A

    20

  • B

    14

    check_circle
  • C

    12

  • D

    10

Explanation

a+b=30a + b = 30, 5a+10b=2305a + 10b = 230. Sub: 5a+10(30−a)=2305a + 10(30-a) = 230 → −5a+300=230-5a + 300 = 230 → a=14a = 14.

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