Question

A certain bag of potting soil is 1/4 peat moss, and the rest is dirt. What part is dirt?

1/4
А
B
3/8
3/4
D
7/8
E
1-1/4

Answer 1

`D = 1 - (1)/(4)`

`D = (3)/(4)`

Explanation:

Given:

1 bag of potting soil

`Peat Moss = (1)/(4)`

Required

What part is dirt?

The whole bag of potting soil is represented as 1;

Let P represent Peat Moss and D represented Dirt; Such that

`P + D = 1`

Subtract P from both sides

`P - P + D = 1 - P`

`D = 1 - P`

Substitute
`(1)/(4)` for P

`D = 1 - (1)/(4)`

Take LCM

`D = (4-1)/(4)`

`D = (3)/(4)`

Hence,
`1 - (1)/(4)` or
`(3)/(4)` of the potting soil is Dirt