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Linear Equations in Two Variables

SAT Math· difficulty 3/5

A 30% saline solution is mixed with 70% saline. To make 10 L of 50% saline, how much 30% solution is needed?

  • A

    55 L

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  • B

    33 L

  • C

    44 L

  • D

    66 L

Explanation

0.30x+0.70(10−x)=0.50(10)⇒−0.40x+7=5⇒x=50.30x + 0.70(10 - x) = 0.50(10) \Rightarrow -0.40x + 7 = 5 \Rightarrow x = 5.

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