Question

A random survey of quality of city parks is taken. Seventy-five percent of the people surveyed were pleased with the condition of the parks. If 180 people were please, the how many people were surveyed. (Hint: You can use a % bar or % proportion to solve)

Answer 1

Number of people surveyed is 240 people

Explanation:

We are told that Seventy-five percent of the people surveyed were pleased with the condition of the parks.

Now, if the number of people surveyed is represented by y, then number of people that were pleased with the condition of the parks = 75%y

This can be written as: 75y/100

Now, we are 180 people were pleased.

This means that;

75y/100 = 180

Let's multiply both sides by 100 to get;

(75y/100) × 100 = 180 × 100

This gives;. 75y = 18000

Divide both sides by 75 to get;

75y/75 = 18000/75

y = 240

Number of people surveyed is 240 people