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Solution A contains 8 percent salt by weight, and solution B contains

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Solution A contains 8 percent salt by weight, and solution B contains  [#permalink]

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New post 17 Jan 2020, 04:50
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Question Stats:

44% (02:49) correct 56% (02:14) wrong based on 9 sessions

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Solution A contains 8 percent salt by weight, and solution B contains 12.5 percent salt by weight. If 4.5 grams of solution A is mixed with 3 grams of solution B, then what percent of the weight of the resulting solution is salt?

(A) 9.6

(B) 9.8

(C) 10.4

(D) 10.8

(E) 11

Source:
GMAT Quantum Math Course
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Re: Solution A contains 8 percent salt by weight, and solution B contains  [#permalink]

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New post 17 Jan 2020, 05:02
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Since we're using more of A than of B, the answer will be closer to 8% than to 12.5%, so that alone lets you guess between the first two answer choices very quickly. To solve exactly, since we're mixing the two parts in a 4.5 to 3, or a 3 to 2 ratio, then 3/5 of the mixture is A and 2/5 of the mixture is B. So the resulting concentration is (3/5)(8%) + (2/5)(12.5%) = (24 + 25)/5 = 9.8%. Or you can use alligation (a number line) if you know that technique -- that's how I would solve this, but a solution using that method would be hard to follow if you're unfamiliar with it.
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Re: Solution A contains 8 percent salt by weight, and solution B contains  [#permalink]

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New post 17 Jan 2020, 10:04
sjuniv32 wrote:
Solution A contains 8 percent salt by weight, and solution B contains 12.5 percent salt by weight. If 4.5 grams of solution A is mixed with 3 grams of solution B, then what percent of the weight of the resulting solution is salt?

(A) 9.6

(B) 9.8

(C) 10.4

(D) 10.8

(E) 11

Source:
GMAT Quantum Math Course
\(\frac{8}{100}*4.5 + \frac{12.5}{100}*3\)

\(= 0.36 + 0.375\)

\(= 0.735\)

Quote:
what percent of the weight of the resulting solution is salt?


\(= \frac{0.735}{(4.5 + 3.0)}*100\)

\(= 9.80\), Answer must be (B)
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Re: Solution A contains 8 percent salt by weight, and solution B contains   [#permalink] 17 Jan 2020, 10:04
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