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11. In a gym the ratio of men to women with membership is 5:2. If the gym has 735 persons with membership, how many men will there be?

Respuesta :

jcherry99

The ratio is 5:7 when you are dealing with total membership. In other words, out of every 7 members, 5 will be men and 2 will be women

The ratio will look like this

5:7 = x:735             change to a proportion

5/7 = x / 735          Cross Multiply

7*x = 5 * 735          Combine the right

7*x = 3675             Divide by 7

x = 3675/7             Divide

x = 525

Answer: 525 men

Lanuel

The number of men at the gym were 525 men.

  • Let the women be W.
  • Let the men be M.

Given the following data:

  • Number of persons = 735 persons
  • Ratio of M to W = 5:2  
  • Total ratio= 5 + 2 = 7

To find how many men were at the gym:

Number of men, M = [tex]\frac{5}{7}[/tex] × [tex]735[/tex]

Number of men, M = [tex]5[/tex] × [tex]105[/tex]

Number of men, M = 525 men.

Therefore, the number of men at the gym were 525 men.

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