A school club plans to package and sell dried fruit to raise money. Th

Question

A school club plans to package and sell dried fruit to raise money. The club purchased 12 containers of dried fruit, each containing \(16\frac{3}{4}\) pounds. What is the maximum number of individual bags of dried fruit, each containing \(\frac{1}{4}\) pounds, that can be sold from the dried fruit the club purchased ?

A. 50

B. 64

C. 67

D. 768

E. 804

A. 50

B. 64

C. 67

D. 768

E. 804

Bunuel · Accepted Answer

12 containers of dried fruit, each containing  16\frac{3}{4}=\frac{67}{4}  pounds =  \frac{12*67}{4}  pounds.

\frac{(\frac{12*67}{4})}{(\frac{1}{4})}=\frac{12*67}{4}*4=12*67=...4  (something with units digit of 4 but for sure greater than 64, gives only E).

Answer; E.

generis · Answer

Total pounds of dried fruit: 
12 containers * 16 \frac{3}{4}  lbs / container = 
(12*16) + (12* \frac{3}{4} ) =
(192 + 9) = 201 pounds

How many quarter-pound bags can be made from 201 total pounds?

\frac{201}{(\frac{1}{4})  = 201 * 4 = 804

Answer E

exc4libur · Answer

I. 12 packs containing 16.75 lbs each: Total = 12*16.75 lbs 
II. Total/(1/4) = Total*4 = (12*16.75)*4 =  *4 =  *4 = 804 bags

tapasgupta · Answer

option E
3/4 part of the 16 will give 3 bags.
1 pound will give 4.
Total is 16. So 16*4+3=67
Now 67 *12= 804 bags

TimeTraveller · Answer

12 * (\frac{3}{4} * 4 + 16 * 4) = 12 * (3+64) = 804 . Ans - E.

rulingbear · Answer

I would do 67/4 * 12* 4= 201*4= 804, E.

ScottTargetTestPrep · Answer

The total fruit purchased, in pounds, was:

12 x 16 ¾ = 12 x 67/4 = 3 x 67 = 201

Thus, the number of bags of fruit, each containing 1/4 pounds, that can be sold is:

201/(1/4) = 201 x 4 = 804

Answer: E

loserunderachiever · Answer

QA E , 
12*67/4 = 804/4/1/4 = 804

jalice · Answer

Let the maximum number of individual bags of dried fruit, each containing 1/4 pounds be "B"
1/4*B=67/4*12 (as total weight of dried fruits=67/4*12 pounds)
B=804

Answer (E)

hasnain3047 · Answer

1 container weight = 67/4 pounds
12 containers weight = 67*12/4 = 201 pounds
Number of packges that can be made of 1/4 pounds = 201/(1/4) = 201*4 = 804

Posted from my mobile device

Salsanousi · Answer

16\frac{3}{4}  =  \frac{67}{4}  and  \frac{67}{4}* 12 = 201

Basically 1 pound makes 4 bags (because bag takes  \frac{1}{4}  pounds)

Multiply 201 by 4 = 804

Answer choice E

Probus · Answer

Hi, we can solve this alternatively

if we assume that each lot contains 17 pounds.

Then total we have is 17 *12.

We need to distribute them in bags which can hold upto 1/4 pounds.

the total number of bags in this case would be 17*12*4= 816

Since we have taken 1/4 more than given lot size , the additional bags because of these 1/4 is = 1/4*12*4 = 12

So total number of bags are 816-12= 804

Hope this helps

gmatway · Answer

I think the most logical and easiest approach is

16 3/4 = 16.75 (as 1/4 = .25 so 3/4 = .75) 
12 * 16.75 (i.e total bags *dry fruits in 1 bag = total dry fruits ) = 201

step 2 
now I have total dry fruits 201 and a pouch should have 1/4 dry fruits so how many such bags would be there 
201 = 1/4 * x (where X is total no. of pouch with 1/4 dry fruits in each pouch ) => 804 ans E

MHIKER · Answer

I did altogether in a raw:
12x(67/4)x4/1 = 67x 12= 804
Ans E.

Basshead · Answer

16 3/4 = 67/4

67/4 * 12 = 201

201 * 4 = 804

Answer is E.

plaverbach · Answer

Quick way (!)
The result must be divisible by 12, therefore, by 3. E is the only divisible by 3

ThatDudeKnows · Answer

You and I are on the same page,  Probus . Why would I work with 64/7 unless absolutely necessary?!?

One little tweak for me. I don't like 17. It's just not a number that feels great for me to work with. So, I went with 16. Since I've rounded down, I'll put a little (+) next to each step in my calculations to remind me that I need an answer choice that's a little bigger than what I've got.

16*12 = 160+32 = 192(+)
Now I need to multiply that by 4, so 192*4, which is 768(+).

There's only one answer choice that's a little bigger than the 768 I got.

Answer choice E.

ThatDudeKnowsBallparking

Gaurav07 · Answer

Great explanation Brunel! Can you please help with similar questions like this for practice?

Bunuel · Answer

This is an arithmetic problem, so you can check the questions listed under that tag: https://gmatclub.com/forum/search.php?s ... &tag_id=51 Hope this helps.

A school club plans to package and sell dried fruit to raise money. Th

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