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
I'm confused how to set up the formulas here. Can any experts help?
A worker carries jugs of liquid soap from a production line
This topic has expert replies
-
- Moderator
- Posts: 426
- Joined: Tue Aug 22, 2017 8:48 pm
- Followed by:1 members
- eaakbari
- Master | Next Rank: 500 Posts
- Posts: 435
- Joined: Mon Mar 15, 2010 6:15 am
- Thanked: 32 times
- Followed by:1 members
Capacity : 4 Jugs / trip
Total trips : 17
Total Jugs carried : 17 x 4 = 68
Number of jugs in a carton : 7
Total jugs : 68
Number of cartons filled : 68 / 7 = 9.something (The other decimal places are not required, since number of cartons is a whole number)
Next whole number is 10
Total jugs needed for 10 cartons : 10 x 7 = 70
Total jugs needed for full cartons - jugs available = balance jugs needed to fill
70 - 68 = 2
Hence B
Total trips : 17
Total Jugs carried : 17 x 4 = 68
Number of jugs in a carton : 7
Total jugs : 68
Number of cartons filled : 68 / 7 = 9.something (The other decimal places are not required, since number of cartons is a whole number)
Next whole number is 10
Total jugs needed for 10 cartons : 10 x 7 = 70
Total jugs needed for full cartons - jugs available = balance jugs needed to fill
70 - 68 = 2
Hence B
Whether you think you can or can't, you're right.
- Henry Ford
- Henry Ford
-
- Senior | Next Rank: 100 Posts
- Posts: 94
- Joined: Tue Dec 16, 2014 9:50 am
- Location: London, UK
- Thanked: 2 times
- Followed by:4 members
- GMAT Score:770
Packed Jugs = Carry Capacity * Tripsardz24 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
I'm confused how to set up the formulas here. Can any experts help?
Packed Jugs = 4 * 17 = 68
Jugs in the last box = remainder of 68/7 = 5
Jugs needed to fill last box = box capacity - jugs in the last box = 7 - 5 = 2
GMAT/MBA Expert
- [email protected]
- Elite Legendary Member
- Posts: 10392
- Joined: Sun Jun 23, 2013 6:38 pm
- Location: Palo Alto, CA
- Thanked: 2867 times
- Followed by:511 members
- GMAT Score:800
Hi ardz24,
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
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
GMAT/MBA Expert
- Jeff@TargetTestPrep
- GMAT Instructor
- Posts: 1462
- Joined: Thu Apr 09, 2015 9:34 am
- Location: New York, NY
- Thanked: 39 times
- Followed by:22 members
After 17 trips, the worker has carried 17 x 4 = 68 jugs.ardz24 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
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
Jeffrey Miller
Head of GMAT Instruction
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews