OG A worker carries jugs of liquid soap

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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

B

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by [email protected] » Mon Aug 21, 2017 1:11 pm
Hi AbeNeedsAnswers,

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

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by [email protected] » Wed Nov 15, 2017 4:12 pm
AbeNeedsAnswers 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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AbeNeedsAnswers wrote:
Fri Aug 18, 2017 5:44 pm
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

B
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 R5
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
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