Question

Anita is eating popcorn at the movies. She eats 24 kernels in 10 minutes and 72 kernels in 30 minutes. Which TWO other ratios can represent the rate at which she is eating popcorn?

Answer 1

`(96)/(40)` and
`(120)/(50)`

Explanation:

24 kernels in 10 minutes

In 1 minute she can eat
`(24)/(10)=(12)/(5)\ \text{kernels}`

let
`x` be the number of popcorn and minutes so the rate of eating popcorn is of the form

`(x12)/(x5)`

So, when
`x = 6` we get

`(6*12)/(6* 5)=\frac{72\ \text{kernels}}{30\ \text{minutes}}`

`x` can be any real number

`(10* 12)/(10* 5)=\frac{120\ \text{kernels}}{50\ \text{minutes}}`

`(8* 12)/(8* 5)=\frac{96\ \text{kernels}}{40\ \text{minutes}}`

Other two ratios can be
`(96)/(40)` and
`(120)/(50)`.