Question

Machine A makes 12.75 ounces of popcorn in 3 minutes. Machine B makes 18 ounces of popcorn in 4 minutes. If each machine makes popcorn for 10 minutes, will there be enough popcorn for eight 9-ounce bags? Explain.
A. Yes; Machine A and Machine B make 77.5 ounces in 10 minutes. 77.5 > 72, so there will be enough popcorn.



B. Yes; Machine A and Machine B make 87.5 ounces in 10 minutes. 87.5 > 72, so there will be enough popcorn.



C. No; Machine A and Machine B make 67.5 ounces in 10 minutes. 67.5 < 72, so there will not be enough popcorn.



D. No; Machine A and Machine B make 30.75 ounces in 10 minutes. 30.75 < 72, so there will not be enough popcorn.

Answer 1

Answer: Machine A makes popcorn at a rate of 4.25 ozs per minute (12.75oz/3min).

Machine B makes popcorn at a rate of 4.5 ozs per minute (18oz/4min).

Machine A will make 4.25oz/min * 10minutes = 42.5oz of popcorn after 10 minutes

Machine B will make 4.5oz/min * 10 minutes = 45oz of popcorn after 10 minutes

After 10 minutes there will be a total of 42.5oz (Machine A) +45oz (Machine B) = 87.5oz.

So the answer is: Yes there will be (more than) enough popcorn if both machines make popcorn for 10 minutes.

If the question is wondering how many 9oz bags they can fill: 87.5oz/9oz per bag = 9.7222 bags. The machines can fill 9, 9oz, bags with some popcorn leftover.

Step-by-step explanation:

Answer 2

Answer:

A/B

Step-by-step explanation:

They will have enough popcorn

Either way there will be enough popcorn to make eight 9-ounce bags.

Hope it helps