One gram of a certain health food contains 7 percent of the

Question

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

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

LiveStronger · Accepted Answer

E

You get only 3% Vitamin A from 1 gram and 7% Vitamin E from 1 gram, and since the questions requires minimum amount to get 100% both vitamins, we need to focus on Vitamin A

1 gram - 3%
x gram - 100%
x = 33.3

Answer E will only give 99% of daily reaquirements though :?:

Bunuel · Answer

No, the question asks exactly that.

1 gram of the food contains 7% of the minimum daily requirement of vitamin E and 3% of the minimum daily requirement of vitamin A.

So, 1 gram of the food is not enough to provide daily requirement of both vitamins, it provides only 7% of E and 3% of A.

How many grams of the food must be eaten daily to provide at least  the minimum daily requirement  of both vitamins?

So, how many grams of the food must be eaten to provide at least 100% of E and A.

ALD · Answer

i think i have not understood the question.

shouldn't the question give the minimum daily requirement of both the vitamins also, or AM I JUST CONFUSED?

yezz · Answer

IF IT COVERS 100% OF A then i covers both
E is the answer

100/3 = 33.333

amitdgr · Answer

1gm = 7E + 3A
2 gm = 2(7E + 3A) = 14E + 6A and so on ...

Now we need 100 E and 100 A daily.

If I eat one gram I will get only 7E and 3A. But I have no other source of E and A.

To get 100 A i will need to eat bit more than 33g of the supplement. because 33*3 =99

We need approx answer only. So answer is E

arkle · Answer

Where does the question say what the minimum daily requirement is?

ConnectTheDots · Answer

The question says.. 1 gram of the food has 7% of minimum daily requirement for Vit E and 3% of Vit A.

And asks to find - how much of the food you need for 100% of E and 100% of A daily requirement.

sri30kanth · Answer

The questions asks for minimum daily requirement of both vitamins and not minimum amount to get 100% both vitamins. I added 3 and 7 and opted answer as 10. Can you please tell me where I am going wrong? I didnt understand why we are calculating for 100%. Thanks

sri30kanth · Answer

Got it. Thanks a lot Bunuel

PareshGmat · Answer

Least quantity contained is Vitamin E = 3%

Minimum consumption  = \frac{100}{3} = 33

Answer = E

Abhishek009 · Answer

7% of total daily requirement of vitamin E = 1gm of a certain health food 
1% of total daily requirement of vitamin E = 0.14 (100/7 )gm of a certain health food 
100% of total daily requirement of vitamin E = 14.28 gm of a certain health food

Thus 14.28gm of certain health food is required for the mminimum daily requirement of Vtamin E.

What amout vitamin B ?

3% of total daily requirement of vitamin A = 1gm of a certain health food 
1% of total daily requirement of vitamin A = 0.33 (100/3 )gm of a certain health food 
100% of total daily requirement of vitamin A = 33.33 gm of a certain health food

So,   33.33gm of the certain health food is required for maintaining the minimum daily requirement of Vitamin A.

14gm of certain health food is required for the mminimum daily requirement of Vtamin E & 33.33gm of the certain health food is required for maintaining the minimum daily requirement of Vitamin A.

If the person takes 33 gms of a certain health food then it will fulfil his daily requirement of both Vitamin A and Vitamiin E.

Hence the correct answer is (E) !!

Guilio · Answer

Guys,

wouldn't 34 grams fulfil the minimum requirement ass 33 would only account 99%? Confused.

Abhishek009 · Answer

Please provide the detailed calculation how you are getting 33 gms as 99% for us to enable to comment on the issue !!

Guilio · Answer

Heb Abhishek,

sure. 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. So in each gram, there is 0.07 grams of vitamin E and 0.03 grams of vitamin A. As per my understanding of this question, we must consume at least 1 gram of each vitamin. To consumer at least 1 gram of vitamin A, we would need to consumer 34 grams of a certain health food: 34 * 0.03 = 1.02 grams. 1 gram less of healthy food would only account to 0.99 grams.

Same idea in percentage points: 3% * 33 = 99%, so 1% is missing. Hence, one gram more.

Apparently I am missing some key info.

Thank you for your response!

KarishmaB · Answer

Yes, 33 would only account for 99%. For the other 1%, we need another 1/3 gms.

So the actual answer would be 33(1/3).

Now look at the question again:
" approximately  how many grams of the health food must be eaten daily to provide at least the minimum daily requirement of both vitamins"

You are looking for an approximate value of 33(1/3) gms. That approximate value could be 33 gms.

Hence answer (E)

Guilio · Answer

Helpful Karishma as always.

Thanks!

Nunuboy1994 · Answer

It's a bit of a weird question but anyways- what the question is really asking is at what quantity of this certain health food would the daily requirement for both vitamin E and vitamin A be satisfied- it doesn't matter if one vitamin is superfluous rather it just matters that the quantity provided provides 100 percent of each vitamin- so pick a simple value

100(.07) =.07
100(.03)= .03

33000(.07) =241 percent of vitamin E...damn mate 
33000(.03)=99 percent of vitamin A- this is close enough

Thus
"E"

ScottTargetTestPrep · Answer

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

Jaya6 · Answer

shouldn't it be 21? i,e 7*3? I know its not amongst the options,but just curious.

One gram of a certain health food contains 7 percent of the

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One gram of a certain health food contains 7 percent of the

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