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Linear Equations in One Variable

SAT Math· difficulty 2/5

A store mixes coffee beans worth \8perpoundwithbeansworthper pound with beans worth$12perpoundtomake20poundsofmixworthper pound to make 20 pounds of mix worth$9perpound.Howmanypoundsoftheper pound. How many pounds of the$8$ beans are used?

  • A

    15

    check_circle
  • B

    18

  • C

    5

  • D

    10

Explanation

Let xx = pounds of \8beans.beans.8x + 12(20-x) = 9(20) = 180→→-4x + 240 = 180→→x = 15$.

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