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?

Respuesta :

Answer:

The number of shoes Paisley own is 75.

Step-by-step 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 [tex]x.[/tex]

According to question:

32% of [tex]x[/tex] = 24.

[tex]\frac{32}{100} \times x=24[/tex]

[tex]0.32x=24[/tex]

Dividing both sides by 0.32 we get:

[tex]x=75.[/tex]

Therefore, the number of shoes Paisley own is 75.

Answer:

The total number of shoes Paisley owns = 75

Step-by-step 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 = [tex]x[/tex]

Thus, number of sandals can be represented as:

⇒ 32% of [tex]x[/tex]

⇒ [tex]0.32\times x[/tex]

⇒ [tex]0.32x[/tex]

Number of sandals = 24

So, we can write the equation as:

⇒ [tex]0.32x=24[/tex]

Solving for [tex]x[/tex]

Dividing both sides by 0.32.

⇒  [tex]\frac{0.32x}{0.32}=\frac{24}{0.32}[/tex]

⇒ [tex]x=75[/tex]

Thus, the total number of shoes Paisley owns = 75