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?

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

Step-by-step explanation:

we know that

Eight 9-ounce bags is equal to

so

By proportion find the amount of popcorn made by each machine

Machine A

Machine B

so

therefore

There's enough popcorn for eight 9-ounce bags

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl