Question

Please help me with this math problem and I will help you.

In a survey, 60% of those questioned chose winter as their favorite season.
If 48 people chose winter, then how many people were surveyed?

A.29

B.32

C.80

D.128

Answer 1

C. 80

Explanation:

Given:

• 60% = 48 people

Let x be the total number of people surveyed.

Set up a ratio of people to percentage and solve for x:

`\implies \sf 48 : 60 = x : 100`

`\implies \sf (48)/(60)=(x)/(100)`

`\implies \sf x=100 \cdot (48)/(60)`

`\implies \sf x=(4800)/(60)`

`\implies \sf x=(480)/(6)`

`\implies \sf x=80`

Therefore, the total number of people who were surveyed was 80.

Answer 2

• C. 80

Explanation:

Let the number of people were surveyed is x.

We have 60% of x is 48 people.

Set this as equation and solve:

• 60% of x = 48
• x*60/100 = 48
• 0.6x = 48
• x = 48/0.6
• x = 80

Correct choice is C.