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Linear Equations in One Variable

SAT Math· difficulty 5/5

A coffee shop blends Brand X (8perpound)withBrandY(8 per pound) with Brand Y (12 per pound). They want 5050 pounds of blend at $10.40 per pound. How many pounds of Brand X are needed?

  • A

    20

    check_circle
  • B

    25

  • C

    22

  • D

    15

Explanation

Let xx pounds of X. 8x+12(50−x)=10.40(50)8x + 12(50 - x) = 10.40(50). So −4x+600=520-4x + 600 = 520, giving 4x=804x = 80 and x=20x = 20.

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