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?
We want to find the total number of people that Annette surveyed given that we know a percentage and the number that the percentage represents.We will find that the number of people that Annette survey is 480.To get the solution:Let’s assume that she surveyed a total of X people.Then we can write the equivalence:100% = XWe know that the 37.5% is equivalent to 180 people, then we can write:37.5% = 180The two equations are:100% = X37.5% = 180Now we can take the quotient between these two equations to get:(100%/37.5%) = X/180Solving for X we get:(100%/37.5%)*180 = X = 480So the total number of people surveyed is 480.
Answer:480 people180/X × 100 = 37.5%180 × 100 = 37.5 × X18000 ÷ 37.5 = 37.5 × x ÷ 37.5480 people = x