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?

Answer 1

12.75*3= 38.25oz
18*2=36+9=45oz
83.25/9=9.25

Answer 2

Yes, there's enough popcorn for eight 9-ounce bags

Explanation:

we know that

Eight 9-ounce bags is equal to

`8*9=72\ ounces`

so

By proportion find the amount of popcorn made by each machine

Machine A

`(12.75)/(3)=(x)/(10)\\ \\x=12.75*10/3\\ \\x=42.5\ ounces`

Machine B

`(18)/(4)=(x)/(10)\\ \\x=18*10/4\\ \\x=45\ ounces`

so

`42.5\ ounces+45\ ounces=87.5\ ounces`

`87.5\ ounces> 72\ ounces`

therefore

There's enough popcorn for eight 9-ounce bags