Question a-chem

1.2 Linear Equations in One Variable - Single-variable equations (multi-step)
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A chemist combines water and acetic acid to make a mixture with a volume of 56 milliliters mL. The volume of acetic acid in the mixture is 10 mL. What is the volume of water, in mL, in the mixture? (Assume that the volume of the mixture is the sum of the volumes of water and acetic acid before they were mixed.)

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A chemist combines water and acetic acid to make a mixture with a volume of 56

Hard-difficulty · SAT Math · Linear Equations in One Variable — Single-variable equations (multi-step). Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

The correct answer is 46 . It's given that a chemist combines water and acetic acid to make a mixture with a volume of 56 milliliters (mL) and that the volume of acetic acid in the mixture is 10 mL. Let x represent the volume of water, in mL, in the mixture. The equation x + 10 = 56 represents this situation. Subtracting 10 from both sides of this equation yields x = 46 . Therefore, the volume of water, in mL, in the mixture is 46 .