Question

Paisley was organizing her shoe collection. She counted 24 pairs of sandals. This represents 32% of the total number of shoes she owns. How many shoes does Paisley own?

Answer 1

The total number of shoes Paisley owns = 75

Explanation:

Given:

24 pairs of sandals represent 32% of the shoes Paisley owns.

To find the total number of shoes Paisley owns.

Solution:

Let the total number of pairs of shoes be =
`x`

Thus, number of sandals can be represented as:

⇒ 32% of
`x`

⇒
`0.32* x`

⇒
`0.32x`

Number of sandals = 24

So, we can write the equation as:

⇒
`0.32x=24`

Solving for
`x`

Dividing both sides by 0.32.

⇒
`(0.32x)/(0.32)=(24)/(0.32)`

⇒
`x=75`

Thus, the total number of shoes Paisley owns = 75

Answer 2

The number of shoes Paisley own is 75.

Explanation:

Given:

Paisley was organizing her shoe collection.

She counted 24 pairs of sandals.

This represents 32% of the total number of shoes she owns.

Now, to find the number of shoes Paisley own.

Let the number of shoes Paisley own be
`x.`

According to question:

32% of
`x` = 24.

`(32)/(100) * x=24`

`0.32x=24`

Dividing both sides by 0.32 we get:

`x=75.`

Therefore, the number of shoes Paisley own is 75.