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Linear Equations in One Variable

SAT Math· difficulty 4/5

A trail mix that is 30%30\% peanuts is mixed with one that is 50%50\% peanuts to produce 4040 pounds of mix that is 42%42\% peanuts. How many pounds of the 50%50\% mix are needed?

  • A

    16

  • B

    20

  • C

    24

    check_circle
  • D

    28

Explanation

Let xx pounds of 50%50\%. 0.30(40−x)+0.50x=0.42(40)0.30(40 - x) + 0.50x = 0.42(40). So 12−0.30x+0.50x=16.812 - 0.30x + 0.50x = 16.8, giving 0.20x=4.80.20x = 4.8 and x=24x = 24.

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