Question

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?

Answer 1

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% = $\frac{85}{100}$ = 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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