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

Answer:

$D = 1 - \frac{1}{4}$

$D = \frac{3}{4}$

Step-by-step explanation:

Given:

1 bag of potting soil

$Peat Moss = \frac{1}{4}$

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 $\frac{1}{4}$ for P

$D = 1 - \frac{1}{4}$

Take LCM

$D = \frac{4-1}{4}$

$D = \frac{3}{4}$

Hence, $1 - \frac{1}{4}$ or $\frac{3}{4}$ of the potting soil is Dirt