How to solve?
Weighted Average problem?
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If equal amounts of X and Y are combined (150 grams of each), the percentage of protein in the resulting mixture would be (10+15)/2 = 12.5%, resulting in .125*300 = 37.5 grams of protein. Since the mixture contains just a bit more protein (38 grams), it must include a bit more than 150 grams of Y, which contains a higher percentage of protein, and a bit less than 150 grams of X, which contains a lower percentage of protein.
The correct answer is B.
Alternatively, we could plug in the answer choices for the amount of X contained in the mixture:
Answer choice B: 140 grams X, 160 grams Y
.1*140 = 14
.15*160 = 24
14+24 = 38. Success!
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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