Problem Solving

swerve wrote:One gram of a certain health food contains 7 percent of the minimum daily requirement of vitamin E and 3 percent of the minimum daily requirement of vitamin A. If vitamins E and A are to be obtained from no other source, approximately how many grams of the health food must be eaten daily to provide at least the minimum daily requirement of both vitamins?

A. 3
B. 7
C. 10
D. 14
E. 33

The OA is E

Source: Economist GMAT

Since between vitamin E and vitamin A, the supply of vit A (3%) is less than vit E (7%), we must focus on the minimum requirement of vit A; since if the quantity of vit A is taken are, the quantity of vit E would also be taken care of.

Given one gram of a certain health food contains 3 percent of the minimum daily requirement of vitamin A, one needs 1/3% = 33.33 grams = Appx. 33 grams of food

The correct answer: E

Hope this helps!

-Jay
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swerve wrote:One gram of a certain health food contains 7 percent of the minimum daily requirement of vitamin E and 3 percent of the minimum daily requirement of vitamin A. If vitamins E and A are to be obtained from no other source, approximately how many grams of the health food must be eaten daily to provide at least the minimum daily requirement of both vitamins?

A. 3
B. 7
C. 10
D. 14
E. 33

The OA is E

Source: Economist GMAT

Since it will take more grams to get the 3 percent requirement, we can focus just on the number of grams that must be consumed to get the minimum daily requirement of vitamin A. Thus:

0.03n = 1

n = 1/0.03 = 100/3 = 33.33

Answer: E