Question

In a survey tasting lemonade, one fifth of the people surveyed were under 25 years old. If 65 people were 25, how many people were surveyed?

a) 260
b) 325
c) 325
d) 400

Answer 1

To find the total number of people surveyed, we set up the proportion (1/5) × total = 65 and solved for the total, which gave us 325 people.

Step-by-step explanation:

The question asks us to determine the total number of people surveyed based on the information that one fifth of the people surveyed were under 25 years old, and that 65 people were in that age group. To solve this, we need to set up a proportion where 1/5 (one fifth) of the total number of people equals 65 since 65 represents the one fifth of the population that was under 25.

Let's denote the total number of people surveyed as 'x'. The proportion can be written as follows:

(1/5) × x = 65

To find 'x', we perform the following calculation:

1. 
   
3. Multiply both sides by 5 to isolate 'x' on one side of the equation.
4. 
   
6. So, 5 × (1/5) × x = 5 × 65
7. 
   
9. Which simplifies to: x = 325

Therefore, the total number of people surveyed was 325.