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Linear Equations in One Variable

SAT Math· difficulty 4/5

A bottle of fruit punch is 20%20\% juice. How many ounces of pure juice must be added to 5050 ounces of punch to make it 40%40\% juice?

  • A

    503\frac{50}{3}

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  • B

    25

  • C

    30

  • D

    20

Explanation

Let xx ounces added. Juice: 0.20(50)+x=0.40(50+x)0.20(50) + x = 0.40(50 + x). So 10+x=20+0.40x10 + x = 20 + 0.40x, giving 0.60x=100.60x = 10 and x=503x = \frac{50}{3}.

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