How many liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin? Round the answer to the nearest hundredth if necessary. Original (L)Added (L)New (L)Amount of Glycerin0.96x0.96 + xAmount of Solution12x12 + x

The original solution contains 12 × 0.08 = 0.96 liters of glycerin. If x liters of pure glycerin are added, the new mixture has 0.96 + x liters of glycerin out of 12 + x liters total, so (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 B, 1.14 liters.

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