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19 Jul 2010, 00:07
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
72% (02:15) correct
28%
(02:35)
wrong
based on 2165
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If 12 ounces of a strong vinegar solution are diluted with 50 ounces of water to form a three-percent vinegar solution, what was the concentration of the original solution?
A. 19.3%
B. 17%
C. 16.67%
D. 15.5%
E. 12.5%
A. 19.3%
B. 17%
C. 16.67%
D. 15.5%
E. 12.5%
19 Jul 2010, 00:19
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bibha
If 12 ounces of a strong vinegar solution are diluted with 50 ounces of water to form a three-percent vinegar solution, what was the concentration of the original solution?
19.3%
17%
16.67%
15.5%
12.5%
19.3%
17%
16.67%
15.5%
12.5%
Let's assume that the original solution has a concentration of \(x\%\) vinegar.
The amount of vinegar in the original solution is therefore, \(12*\frac{x}{100}\) ounces.
The amount of vinegar in \(50+12=62\) ounces of the final solution is \(\frac{3}{100}*62\).
Since only water was added to the original solution, we can equate the amount of vinegar in the final solution to that in the original solution:
\(12*\frac{x}{100}=\frac{3}{100}*62\)
\(12x=3*62\)
\(x=15.5\)
Therefore, the original solution had a concentration of 15.5% vinegar.
Answer: D
19 Apr 2018, 13:43
Kudos
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bibha
If 12 ounces of a strong vinegar solution are diluted with 50 ounces of water to form a three-percent vinegar solution, what was the concentration of the original solution?
A. 19.3%
B. 17%
C. 16.67%
D. 15.5%
E. 12.5%
A. 19.3%
B. 17%
C. 16.67%
D. 15.5%
E. 12.5%
When 50 ounces of water is added to the 12 ounces of original solution, we get 62 ounces of a NEW solution.
The new solution is 3% vinegar.
3% of 62 = 1.86
So, the NEW solution contains 1.86 ounces of pure vinegar.
These 1.86 ounces of pure vinegar came from the ORIGINAL solution.
The ORIGINAL solution had a volume of 12 ounces. 1.86 ounces was pure vinegar.
1.86/12 = what percent?
Well, 1.8/12 = 15%, so 1.86/12 must be a little bit more than 15%.
Answer: D
Cheers,
Brent
