Question

Caleb is making a soil mix that is 8 parts dirt to 3 parts peat moss. Which of the following best describes the amount of dirt he could use for every 1 cup of peat moss?

A. He should add between 1/4 cup and 1/2 of dirt.

B. He should add between 1/2 cup and 1 cup of dirt.

C. He should add between 1 cup and 2 cups of dirt.

D. He should add between 2 cups and 3 cups of dirt.

Answer 1

D. He should add between 2 cups and 3 cups of dirt.

Explanation:

First we need to take the ratio of dirt to peat moss.

8 parts dirt : 3 parts peat moss.

Now we take the ratio and find the value of dirt.

8 : 3 =
`(8)/(3)`

x : 1 =
`(x)/(1)`

`(x)/(1) = (8)/(3)`

We now multiply both sides by 1.

`1(x)/(1) = 1(8)/(3)`

`x = (8)/(3)`

`x = 2.67`

So now we substitute x.

2.67 Cups Dirt : 1 Cup Peat Moss