Answers Algebraic Reasoning N/A — ExamQuestion 11

11

QuizMultiple Choice

N/A — Exam

Question 11 • Algebraic Reasoning

How many liters of glycerin should be added to 12 liters of an 8 percent glycerin solution so that the resulting solution contains 16 percent glycerin? Round the answer to the nearest hundredth if necessary. Original (L) Added (L) New (L) Amount of Glycerin 0 point 9 6 x 0 point 9 6 plus x Amount of Solution 12 x 12 plus x

Answer

A

1 point 1 4 liters

B

1 point 9 2 liters

C

2 point 1 0 liters

D

0 point 1 8 liter

Explanation

The original solution contains 12 × 0.08 = 0.96 liters of glycerin. Let x be the liters of pure glycerin added; then (0.96 + x)/(12 + x) = 0.16. Solving gives 0.96 + x = 1.92 + 0.16x, so x ≈ 1.14 liters. The correct choice is A, 1.14 liters.

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