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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 packi  [#permalink]

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17 Jun 2017, 07:05
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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
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A worker carries jugs of liquid soap from a production line to a packi  [#permalink]

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17 Jun 2017, 12:34
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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

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.

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

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17 Jun 2017, 09:42
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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.
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Re: A worker carries jugs of liquid soap from a production line to a packi  [#permalink]

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27 Jun 2017, 09:12
2
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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15 Nov 2017, 16:04
2
2
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.

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

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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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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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20 Nov 2017, 16:40
2
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.

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

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04 Mar 2018, 05:52
What indicates that the worker made 17 trips while carrying just 4 jugs?
The question only specifies that he made 17 trips while carrying them in cartons.

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

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04 Mar 2018, 09:48
SwatiL wrote:
What indicates that the worker made 17 trips while carrying just 4 jugs?
The question only specifies that he made 17 trips while carrying them in cartons.

Posted from my mobile device

SwatiL - The worker takes 4 Jugs from production area to the packing area in every trip. The packing area is where the jugs are then placed in the carton.

after 17 trips, he would have taken 68 jugs, but the carton's capacity is 7 jugs, implying that in the last carton there is room for 2 more jugs (the closest multiple of 7 is 70).
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Re: A worker carries jugs of liquid soap from a production line to a packi  [#permalink]

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29 Mar 2018, 21:30
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

Last leg of the question is tricky and I fell into the trap.

One trip = 4 jugs

17 trips = 17 * 4 = 68 jugs total

One carton's capacity = 7 jugs

Therefore we can completely fill = 68/7 = 9 cartons and 5 jugs left to fill in the next carton.

To fill it completely we need 2 (jugs needed) + 5 (remaining jugs) = 7 (one carton's capacity)

Hence (B) 2 jugs
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Re: A worker carries jugs of liquid soap from a production line to a packi  [#permalink]

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08 Apr 2018, 06:05
1
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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A worker carries jugs of liquid soap from a production line to a packi  [#permalink]

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31 Dec 2018, 08:30
Another way to think of this question is how many trips the workers need to fill all the cartons fully.
Number of trips * 4 = total jugs. Total jugs / 7 => number of cartons. From here, we can tell the number of trips has to be multiple of 7 so that all the cartons will be filled completely.
17 trips = 14 + 3
14 is multiple of 7 so now we only need to look at the last 3 trips.
3*4=12
12 jugs can be filled in 12/7 = 1 carton with 5 jugs left for the last carton. So the last carton will have 5 jugs and need 2 more to make it full.
=>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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16 Oct 2019, 16:26
17 trips 4 jugs each trip = 68 carried thus far
68/7 = 9 filled packs, 5 within one last pack, so we need 2 more to complete the pack as each pack holds 7
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Re: A worker carries jugs of liquid soap from a production line to a packi  [#permalink]

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16 Oct 2019, 23:14
The worker carries 4 jugs per trip, so after 17 trips he would have carried 4 * 17 = 68 jugs

The jugs are being filled into cartons of 7, so the number of jugs he must carry now would be the closest multiple of 7 above 68 less 68, or 70 - 68 = 2.

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

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28 May 2020, 04:51
Soln:

4 jugs in one trip and 7 jugs fill one cartoon

IF we take LCM of 4 and 7, we get 28

so when 28 jugs are carried - in 7 trips 4 cartoons are filled.
Next 28 jugs are carried in another 7 trips i.e 14 trips next set of 4 cartoons is filled

Total 56 jugs -14 trips- 8 cartoons filled
We are given 17 trips so additional 4*3 =12 jugs are there but to fill cartoon we need multiple of 7 so adding 12+2 will give us 14 and fill the partially filled cartoon.

So ans is 2 choice B
Re: A worker carries jugs of liquid soap from a production line to a packi   [#permalink] 28 May 2020, 04:51

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

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