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.

Respuesta :

Answer: 480

Step-by-step 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.]

[tex]\Rightarrow \ 0.375x=180\\\\\Rightarrow\ x=\dfrac{180}{0.375}\\\\\Rightarrow\ x=\dfrac{180000}{375}\\\\\Rightarrow\ x=480[/tex]

Hence, Annette surveyed 480 people.