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

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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
[Reveal] Spoiler: OA

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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.
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AbdurRakib wrote:
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


Start only with how many jugs total the worker carries in 17 trips (i.e. ignore the 7 per carton for now - that's crazy-making).

4 jugs per trip * 17 trips means s/he carried 68 jugs.

Then figure out how many cartons have been filled, and if there are any partly filled cartons.

If there must be 7 jugs in each carton, divide 68 by 7 to get the number of cartons that are full and whatever is left over.

\(\frac{68}{7}\)= 9 + remainder 5.

So 9 cartons are full of 7 jugs, and one carton is has only 5 in it. It needs 2 more.

Answer B.

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Re: A worker carries jugs of liquid soap from a production line to a packi [#permalink]

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AbdurRakib wrote:
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


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.

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Re: A worker carries jugs of liquid soap from a production line to a packi [#permalink]

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New post 15 Nov 2017, 16:04
AbdurRakib wrote:
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


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
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A worker carries jugs of liquid soap from a production line to a packi [#permalink]

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New post 15 Nov 2017, 19:26
AbdurRakib wrote:
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


each trip fills 4/7 of carton
(17*4)/7 leaves a remainder of 5
7-5=2 more jugs needed
B

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Re: A worker carries jugs of liquid soap from a production line to a packi [#permalink]

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New post 19 Nov 2017, 06:02
AbdurRakib wrote:
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


The worker has finished 17 trips.
Hence the number of jugs transported = 17*4 = 68.

But the carton can accommodate 7 jugs. So 68/7. This will give a remainder 5.
Now to fill the last partially filled carton(currently having 5) we can add 2 more.

Hence B

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Re: A worker carries jugs of liquid soap from a production line to a packi [#permalink]

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New post 20 Nov 2017, 16:40
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:
[Reveal] Spoiler:
B


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Re: A worker carries jugs of liquid soap from a production line to a packi   [#permalink] 20 Nov 2017, 16:40
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