85% of the people survey thought the price of the car wash was reasonable. If 164 people thought the cost of the car wash was reasonable, how many people were survey?

Relax

Respuesta :

192 people were survey

Step-by-step explanation:

The given is:

  • 85% of the people survey thought the price of the car wash was reasonable
  • 164 people thought the cost of the car wash was reasonable

We need to find how many people were survey

Assume that x people were survey

∵ There were x people survey

∵ 85% of them thought the price of the car wash was reasonable

∴ The number of the people who thought the price of the car wash

   was reasonable = 85% × x

∵ 85% = [tex]\frac{85}{100}[/tex] = 0.85

∴ The number of the people who thought the price of the car wash

   was reasonable = 0.85 x

∵ 164 people thought the cost of the car wash was reasonable

- Equate 0.85 x and 164

∴ 0.85 x = 164

- Divide both sides by 0.85

∴ x = 192.94

∵ x represents a number of people, then it must be integer

∴ The number of people were survey = 192

192 people were survey

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