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Fully answer BOTH questions a and b below.

On a recent survey, 60% of those surveyed indicated that they preferred walking to running.
a. If 540 people preferred walking, how many people were surveyed?
b. How many people preferred running?

Respuesta :

Answer:

a. Number of people surveyed were 900.

b. 360 people preferred running.

Step-by-step explanation:

Given:

On a recent survey, 60% of those surveyed indicated that they preferred walking to running.

If 540 people preferred walking.

Now, to find a. number of people were surveyed. b. number of people preferred running.

a.

Number of people preferred walking = 540.

Percentage of people preferred walking = 60%.

Let the total number of people surveyed be [tex]x.[/tex]

Now, to get the number of people surveyed:

60% of x = 540.

[tex]\frac{60}{100} \times x=540[/tex]

[tex]0.60\times x=540[/tex]

[tex]0.60x=540[/tex]

Dividing both sides by 0.60 we get:

[tex]x=900.[/tex]

Thus, number of people surveyed = 900.

b.

Total number of people surveyed = 900.

People preferred walking = 540.

Now, to get the people preferred running we subtract people preferred walking from total number of people surveyed:

[tex]900-540[/tex]

[tex]=360.[/tex]

Thus, people preferred running = 360.

Therefore, a. Number of people surveyed were 900.

b. 360 people preferred running.