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Bunuel
If an amount of a solution containing 10 percent Chemical A is combined with twice as much of a solution that is 30 percent Chemical A and four times as much of a solution that is 35 percent Chemical A, what is the concentration of Chemical A in the resulting solution?

A. 17.5%
B. 20%
C. 25%
D. 27.5%
E. 30%

We can let the volume of 10% Chemical A solution = 10 liters. Thus, the volumes of the 30% and 35% Chemical A solutions are 20 and 40 liters, respectively. We can create the equation:

(0.1 * 10 + 0.3 * 20 + 0.35 * 40) / (10 + 20 + 40) = x/100

(1 + 6 + 14)/70 = x/100

21/70 = x/100

3/10 = x/100

10x = 300

x = 30

Answer: E
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Here is an easy solution to get to the answer quickly
Let the amount of solution containing 10% of Chemical A be x, then according to the given condition
10% of X + 30% of 2X + 35% of 4X
Also, the total amount/ounces of solution in the mixture = X + 2X + 4X = 7X
Therefore, If we consider the number to be in percentages as we have the answer choices in % then,
\frac{10X + 60X + 140X}{7X} = 30%
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Hello from the GMAT Club BumpBot!

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