Machine A makes 12.75 oz of popcorn in 3 minutes. Machine B makes 18 oz of popcorn in 4 minutes if each machine makes popcorn fo 10 minutes, will there be enough popcorn for nine ounce bags?

Answer 1

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.

Answer 2

See previous answer; retype question.

Answer 3

See previous answer; retype question.

Answer 4

Your question is unclear!

Working together the 2 machines will make 8.75 ounces per minute.

In 10 min they will make 87.5 ounces.

Answer 5

12.75oz/3 min x 10 min = 42.5 oz

18oz/4 min x 10 min = 45 oz

sum = 87.5 oz

If each bag is one oz, then 87.5 bags are made.

If each bag is 9 oz, then 9.72 bags are made.

I am unclear as to the question due to the wording you have supplied.

Answer 6

The question portion of this problem is not clear. It appears to be asking if you will have enough popcorn for 9 bags of 1 oz each. If so, the answer is yes (see worked problem below). If the question is about a specific number of bags containing 9 oz of popcorn each, that number is missing from the question.

Here is the process needed to work the problem.

You need to determine how much popcorn each machine can make in 10 min. and add the two answers. Divide this sum by the number of ounces in each bag The answer tells you how many bags of popcorn can be made.

Machine A: 12.75 oz / 3 min gives 4.25oz/minute. 4.25 oz/min x 10 min = 42.5 oz

Machine B: 18oz / 4min gives 4.5oz/min. 4.5oz/min x 10 min = 45 oz.

Machine A + Machine B: 42.5oz + 45oz = 87.5oz

So in 10 min, the 2 machines can make 87 bags of popcorn containing 1 oz each with 0.5 oz left over.

If the question is about 9oz bags: 87.5oz / 9oz/bag = 9.7, so the 2 machines together can make enough popcorn to make 9 bags of popcorn that contain 9 oz each with 0.7 oz leftover.

Answer 7

Machine A: 12.75 / 3 = x / 10 ----->x = 42.5 ounces in 10 minutes

Machine B: 18/4 = x / 10 ---> x = 45 ounces in 10 minutes

87.5 ounces...

SO yes, there is enough for 1 x 9 ounce bag...

there is more than enough for two (2) x 9 ounce bags

IN fact, there is enough for 87.5 divided by 9 = 9 ounce bags.

9 x 9 ounce bags with 6.5 ounces left over.

I have a feeling that is what you were asking