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A machine fills 80 containers of cookies in 20 minutes. At the same rate, how many containers of cookies could the machine fill in 8 hours?

User Embarus
by
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2 Answers

4 votes

Explanation:

80 containers every 20min

theirs is 60min in an hr

80 for 20min

80 for 20min

+80 for 20min

______________

240 for 60min.

240

× 8hrs

___________

1,920 containers

User Negfrequency
by
4.6k points
3 votes

Answer:

1920 containers of cookies could be filled by the machine in 8 hours.

Explanation:

To solve this problem, we will follow the steps below;

First, lets change 8 hours to minutes

8 hours = 8 × 60 =480 minutes

Now using proportion,

Let x be the number of containers of cookies the machine can fill in 8 hours

20 minutes = 80 containers

480 minutes = x

cross-multiply

20×x = 480×80

20 x =38400

Divide both-side of the equation by 20


(20X)/(20) =
(38400)/(20)

(At the left-hand side of the equation 20 will cancel-out 20 leaving us with x while at the right-hand side of the equation 28400 will be divided by 20)

x= 1920 containers.

Therefore, 1920 containers of cookies could be filled by the machine in 8 hours.

User Flor
by
5.7k points