Last year, 60% of runners who competed in the Labor Day race finished in 1 hour or less. There were 285 runners who finished the Labor Day race in 1 hour or less. How many runners competed in the Labor Day race?

Respuesta :

Answer:

475 runners competed in the Labor Day race.

Step-by-step explanation:

Given:

Last year, 60% of runners who competed in the Labor Day race finished in 1 hour or less. There were 285 runners who finished the Labor Day race in 1 hour or less.

Now, to find the runners competed in the Labor Day race.

Let the runners competed in the Labor Day race be [tex]x.[/tex]

Rate of runners who competed in the Labor Day race finished in 1 hour or less = 60%.

Number of runners who competed in the Labor Day race finished in 1 hour or less = 285.

Now, to get the runners competed in the Labor Day race we put an equation:

[tex]60\%\ of\ x=285[/tex]

[tex]\frac{60}{100} \times x=285[/tex]

[tex]0.60x=285[/tex]

Dividing both sides by 0.60 we get:

[tex]x=475.[/tex]

Therefore, 475 runners competed in the Labor Day race.

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