Linear Equations in One Variable

SAT Math· difficulty 3/5

A chemist mixes a 20% acid solution with a 50% acid solution to make 30 liters of a 40% acid solution. How many liters of the 50% solution are needed?

  • A

    15

  • B

    25

  • C

    10

  • D

    20

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Explanation

Let xx = liters of 50%. 0.20(30x)+0.50x=0.40(30)=120.20(30-x) + 0.50x = 0.40(30) = 126+0.30x=126 + 0.30x = 12x=20x = 20.

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