Question

Annette is surveying people in the city about their interest in a new shopping mall. She found that 180 people, or 37.5% of those surveyed, do not want a new mall. How many people did Annette survey? Enter your answer in the box.

Answer 1

Answer: 480

Explanation:

Let x be the number of people Annette surveyed.

Given : Annette found that 180 people, or 37.5% of those surveyed, do not want a new mall.

i..e 37.5 % of x = 180

[we can write 37.5% =0.375 ∵ to convert a percent into a number we divide it by 100.]

`\Rightarrow \ 0.375x=180\\\\\Rightarrow\ x=(180)/(0.375)\\\\\Rightarrow\ x=(180000)/(375)\\\\\Rightarrow\ x=480`

Hence, Annette surveyed 480 people.