Jackie has two solutions that are 2 percent sulfuric acid...

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Last Updated on May 10, 2023

GMAT OFFICIAL GUIDE PS –

Solution:

We can begin by defining two variables:

x = the number of liters of 2 percent solution

y = the number of liters of 12 percent solution

x + y = the total number of liters of the resulting solution

Since we are given that the 2 percent sulfuric acid solution and 12 percent sulfuric solution create a mixture with 5 percent sulfuric acid we can create the following equation.

0.02x + 0.12y = 0.05(x + y)

2x + 12y = 5x + 5y

7y = 3x

We also given that the total solution is 60 liters. Thus, we can create the following equation:

x + y = 60 or 7x + 7y = 420.

Since 7y = 3x, we can substitute 3x for 7y in the equation 7x + 7y = 420. Thus, we have:

7x + 3x = 420

10x = 420

x = 42

Answer: E

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Scott Woodbury-Stewart is the founder & CEO of Target Test Prep. A passionate teacher who is deeply invested in the success of his students, Scott began his career teaching physics, chemistry, math, and biology. Since then, he has spent more than a decade helping students gain entry into the world’s top business schools, logging 10,000+ hours of GMAT, EA, GRE and SAT instruction. Scott also served as lead content developer and curriculum architect for the revolutionary courses Target Test Prep GMAT, Target Test Prep EA, Target Test Prep GRE and Target Test Prep SAT Quant.