A worker carries jugs of liquid soap from a production line to a packi

Question

A worker carries jugs of liquid soap from a production line to a packing area, carrying 4 jugs per trip. If the jugs are packed into cartons that hold 7 jugs each, how many jugs are needed to fill the last partially filled carton after the worker has made 17 trips?

A. 1
B. 2
C. 4
D. 5
E. 6

A. 1
 B. 2
 C. 4
 D. 5
 E. 6

generis · Accepted Answer

The trap: leftover jugs and/or empty spaces in one carton.

(1)  Focus first on total number of jugs carried

Ignore the "7 jugs per carton" for now. It's crazy-making.

Instead, start by finding the  total number of jugs  carried by the worker in 17 trips

(4 jugs per trip) * (17 trips) =  68  jugs were carried

(2)  Filled cartons? Partly filled cartons?

Now calculate how many cartons have been filled, and whether there are any partly filled cartons.

There must be 7 jugs in each carton

Divide 68 by 7 to get the number of cartons that are FULL, but pay attention to the remainder

\frac{68}{7} = 9 +  remainder 5  jugs

So 9 cartons are full of 7 jugs, and  one carton  has  only 5  in it.
A carton holds  7  jugs. The last carton needs  2 more  jugs.

Answer B

pushpitkc · Answer

The worker carried jugs of liquid soap(4 jugs/trip). So, in 17 trips, the worker would carry 68 jugs of liquid soap.

Since he can fill 7 jugs in a carton, he will need to  add 2 more jugs  
such that he has 70 jugs and he can fill the jugs in 10 cartons.

Hence he needs 2 jugs (Option B)  such that the last partially filled carton is full.

ashikaverma13 · Answer

Good questionn. A miss in the reading and anyone could end up making the mistake that I made. this question is not tricky in calculation or logic but in paying attention to detail. We need to keep in mind that the question is asking how many jugs are needed to fill the last  partially  filled carton. meaning thereby that it is not asking for the remainder after 68 has been divided by 7, but how many jugs will be needed to complete another carton.

+1

ScottTargetTestPrep · Answer

After 17 trips, the worker has carried 17 x 4 = 68 jugs.

From those 68 jugs, 68/7 = 9 cartons have been filled, with 5 extra jugs remaining. So, the worker needs one more trip to carry 2 more jugs to fill the partially filled carton with those 2 jugs.

Answer: B

EMPOWERgmatRichC · Answer

Hi All,

We're told that a worker carries 4 jugs of liquid soap per trip and that the jugs are packed into cartons that hold 7 jugs each. We're asked for the number of jugs needed to fill the last PARTIALLY-filled carton after the worker has made 17 trips.

With those first 17 trips, the worker would have transported (4)(17) = 68 jugs of soap.

Since each carton holds 7 jugs, those 68 jugs would lead to 9 FULL cartons (totaling 63 jugs) and a 10th carton that has 5 jugs in it. Thus, 2 more jugs would be needed to fill that final carton.

Final Answer:  B

GMAT assassins aren't born, they're made, 
Rich

SidKan · Answer

Since the worker, carried jugs of liquid soap(4 jugs/trip) 
In 17 trips, he would carry 68 jugs of liquid soap.

Since he can fill 7 jugs in a carton, he will need to add 2 more jugs
such that he has 70 jugs and he can fill the jugs in 10 cartons.

Hence he needs 2 jugs(Option B) such that the last partially filled carton is full.

Phdstanford73 · Answer

Should not you use test the answers ?  EMPOWERgmatRichC

EMPOWERgmatRichC · Answer

Hi Phdstanford73,

While this question does include some of the usual 'clues' you would look for to TEST THE ANSWERS, the question actually involves two variables (how 'full' is the final box' AND how many additional jugs are needed to fill that last box). Since you have to deal with 2 variables to answer the question (and not just one), this is NOT a question that you would use TEST THE ANSWERS on.
 
GMAT assassins aren't born, they're made,
Rich

BrentGMATPrepNow · Answer

Did you see the remainder question hiding in this question?

If the worker carries 4 jugs per trip and makes a total of 17 trips, then the total number of jugs carried = (4)(17) =  68  jugs 
Each carton holds  7  jugs.

68  ÷  7  = 9 R 5 
That is, 63 jugs can be placed in 9 cartons (holding 7 jugs each), and we have  5  jugs remaining.

How many jugs are needed to fill the last partially filled carton?  
If we have  5  jugs remaining, and each carton holds 7 jugs, then we need  2  more jugs to fill the last carton

Answer: B

dylanl1218 · Answer

Let's start by defining some ratios:
(1) # of jugs per trip = 4 jugs/ 1 trip
(2) # of jugs per parton = 7 jugs / 1 carton

Now let's combine our two ratios by multiplying 4 jugs / 1 trip X 1 carton / 7 jugs which is equal to 4 cartons / 7 trips. So now lets determine how many cartons we'll fill in 17 trips which can be done with our combined ratio, so 17 trips X 4 cartons/ 7 trips = 17(4)/7 cartons which is equal to 9 and 5/7, which means we'll need 2 more jugs to fill up the final carton (i.e. 7 - remainder of 5).

GMATinsight · Answer

Answer: Option B

Video solution by  GMATinsight

https://www.youtube.com/watch?v=eRHOEK5MMMw

Archit3110 · Answer

total trips made by worker 17 and in each trip 4 jugs are carried ; 17*4 ; 68
Packing is done of 7 jugs per carton
so we are 2 short of multiple of 7 i.e. 70
option B ; 2

TasnimZR · Answer

4 jugs per trip
Total trip=17 
Jugs for 17 trip=4*17=68,
Each Cartoon hold 7 jugs, So 7*9=63 that means 9 cartoon is fully filled and the rest 5 jugs (68-63) can fill up a cartoon partially. More 2 jugs are needed to fulfill the last cartoon.
Hope it helps!

Posted from my mobile device

avigutman · Answer

Video solution from Quant Reasoning starts at 9:23 Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1 https://www.youtube.com/watch?v=xGocpJU1n2E

100mitra · Answer

Correct Option : B
In 17 Trips with 4 Jugs = 68 Jugs
Carton Size : 7
Remaining : 68/7 = 9 with reminder 5, to complete one full carton 7 is needed, so 7-5 =2 Jugs

avigutman · Answer

Video solution from Quant Reasoning: Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1 https://www.youtube.com/watch?v=W11MsLSxKL0

bumpbot · Answer

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A worker carries jugs of liquid soap from a production line to a packi

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