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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
A. 1
B. 2
C. 4
D. 5
E. 6
A worker carries jugs of liquid soap from a production line to a packi
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17 Jun 2017, 13:34
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Expert Reply
AbdurRakib
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.A. 1
B. 2
C. 4
D. 5
E. 6
(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
A worker carries jugs of liquid soap from a production line to a packi
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17 Jun 2017, 10:42
17 Jun 2017, 10:42
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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.
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.
