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07 Aug 2010, 16:22
Kudos
Bookmarks
Please can someone help solve this problem.
How much water (in grams) should be added to a 35%-solution of acid to obtain a 10%-solution?
There are 50 grams of the 35%-solution.
In the 35%-solution the ratio of acid to water is 7:13.
Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient
How much water (in grams) should be added to a 35%-solution of acid to obtain a 10%-solution?
There are 50 grams of the 35%-solution.
In the 35%-solution the ratio of acid to water is 7:13.
Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient
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08 Aug 2010, 23:08
Kudos
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Let x be the weight of the solution and w be the weight of water that will be added.
We have 0.35x acid and 0.65w
Acid Water Solution
0.35x 0.65x x
0.35x 0.65x+w x+w
Thus 0.35x/ x+w = 10...eq.1
The question is: w?
Statement 1
0.35x= 50g, thus we can solve for x and replace in in eq.1 to determine W
Statement 2
Acid / Water = 7/13 = 7x/13x
Thus the solution is 20x and solution is 100%, x =5
So Acid is 35% and water is 65%
No additional information is given.
Answer is A
Hope this helps.
We have 0.35x acid and 0.65w
Acid Water Solution
0.35x 0.65x x
0.35x 0.65x+w x+w
Thus 0.35x/ x+w = 10...eq.1
The question is: w?
Statement 1
0.35x= 50g, thus we can solve for x and replace in in eq.1 to determine W
Statement 2
Acid / Water = 7/13 = 7x/13x
Thus the solution is 20x and solution is 100%, x =5
So Acid is 35% and water is 65%
No additional information is given.
Answer is A
Hope this helps.
17 Apr 2011, 12:57
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jakolik
Right, so even though we can conclude the ratio of acid to water would have been 2:18 ... but we do not know the qty
Archived Topic
Hi there,
Archived GMAT Club Tests question - no more replies possible.
Where to now? Try our up-to-date Free Adaptive GMAT Club Tests
for the latest questions.
Still interested? Check out the "Best Topics" block above for better discussion and related questions.
Thank you for understanding, and happy exploring!
