Question

Jason used 0.5 cup of kernels to make 16 cups of popcorn how many cups of popcorn would he make if he used 0.75 cup of kernels.

A. 32
B. 28
C. 24
D. 20

PLEASE HELP ME IM DAILING MATH​

Answer 1

Option C: 24 is the correct answer.

Explanation:

Given that:

Jason used 0.5 cup of kernels to make 16 cups of popcorn

Ratio of cup of kernel to cups of popcorn = 0.5 : 16

Let,

x be the cups of popcorn made from 0.75 cups of kernel

Ratio of cups of kernel to cups of popcorn = 0.75 : x

This is a direct proportion as the cups of kernel is increasing.

0.5 : 16 :: 0.75 : x

Product of mean = Product of extreme

16*0.75 = 0.5x

12=0.5x

0.5x=12

Dividing both sides by 0.5

`(0.5x)/(0.5)=(12)/(0.5)\\x=24`

Jason can make 24 cups of popcorn from 0.75 cups of kernel.

Hence,

Option C: 24 is the correct answer.