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Linear Equations in One Variable

SAT Math· difficulty 3/5

A chemist mixes a 10%10\% saline solution with a 40%40\% saline solution to make 3030 liters of 25%25\% solution. How many liters of the 10%10\% solution are used?

  • A

    15

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  • B

    10

  • C

    12

  • D

    18

Explanation

Let xx liters of 10%10\%. Then 0.10x+0.40(30−x)=0.25(30)0.10x + 0.40(30 - x) = 0.25(30). So 0.10x+12−0.40x=7.50.10x + 12 - 0.40x = 7.5, giving −0.30x=−4.5-0.30x = -4.5 and x=15x = 15.

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