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In one alloy there is 12% chromium while in another...

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by BTGmoderatorLU » Fri Jan 12, 2018 2:34 pm
In one alloy there is 12% chromium while in another alloy it is 8%. 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy. Find the percentage of chromium in the new alloy.

(A) 8.8%
(B) 9%
(C) 9.2%
(D) 8.6%
(E) 8.4%

The OA is C.

I'm confused with this PS question. Experts, any suggestion about how to solve it? Thanks in advance.
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by GMATGuruNY » Fri Jan 12, 2018 2:59 pm
LUANDATO wrote:In one alloy there is 12% chromium while in another alloy it is 8%. 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy. Find the percentage of chromium in the new alloy.

(A) 8.8%
(B) 9%
(C) 9.2%
(D) 8.6%
(E) 8.4%
15 kg 12% chromium is combined with 35 kg 8% chromium to form a 50 kg alloy.
Average percent chromium for the entire 50 kg = (15*12 + 35*8)/50 = 460/50 = 46/5 = 9.2.

The correct answer is C.
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by Scott@TargetTestPrep » Tue Aug 06, 2019 4:32 pm
BTGmoderatorLU wrote:In one alloy there is 12% chromium while in another alloy it is 8%. 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy. Find the percentage of chromium in the new alloy.

(A) 8.8%
(B) 9%
(C) 9.2%
(D) 8.6%
(E) 8.4%

The OA is C.

I'm confused with this PS question. Experts, any suggestion about how to solve it? Thanks in advance.
The percentage of chromium in the new alloy is:

(0.12 x 15 + 0.08 x 35)/(15 + 35) x 100

(1.8 + 2.8)/50 x 100

4.6 x 2

9.2

Answer: C

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