Question

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?

Hint:

To determine how many jugs are needed to fill the last carton, find the remainder after dividing the total number of jugs by the carton capacity.

Answer 1

Step 1: Calculate the total number of jugs carried in 17 trips.
The worker carries 4 jugs per trip, so in 17 trips, the total number of jugs carried is: \[ \text{Total jugs carried} = 4 \times 17 = 68 \] Step 2: Calculate the number of full cartons.
Each carton holds 7 jugs, so the number of full cartons is: \[ \text{Full cartons} = \frac{68}{7} = 9 \, \text{(full cartons)} \, \text{with remainder 5 jugs} \] Step 3: Conclusion.
Thus, after the worker has made 17 trips, 5 jugs are needed to fill the last partially filled carton.