Question

ASAP! Raul needs to make a soil mixture of 2/5 sand, 2/5 clay, and 1/5 peat moss to pot his plants. He has 75 pounds of sand. How many total pounds of soil will Raul have if he adds clay and peat moss to the sand to make the correct mixture?

A. 112.5 pounds
B. 150 pounds
C. 187.5 pounds
E. 225 pounds

Answer 1

Given:

Raul needs to make a soil mixture of
`(2)/(5)` sand,
`(2)/(5)` clay, and
`(1)/(5)` peat moss to pot his plants.

He has 75 pounds of sand.

To find:

The total pounds of soil.

Solution:

Let x be the total points of soil.

It is given that
`(2)/(5)` of total soil is sand.

`Sand=(2)/(5)x`

He has 75 pounds of sand.

`(2)/(5)x=75`

`2x=75* 5`

`x=(375)/(2)`

`x=187.5`

The total pounds of soil is 187.5 pounds. Therefore, the correct option is C.