Answer
First find out the how many students participated .
As given
In a survey, a group of students were asked their favorite sport.
Eighteen students chose "other" sports.
Baseball- 40%
Football- 37.5%
Suppose that the total number of students are 100%.
Students play other sports percentage = Total percentage - Baseball percentage -Football percentage
= 100 - 40 - 37.5
= 22.5%
Formula
\(Percentage = \frac{Part\ value\times 100}{Total\ value}\)
Here Percentage = 22.5%
Part value = 18
Put in the formula
\(22.5 = \frac{18\times 100}{Total\ value}\)
\(Total\ value = \frac{1800}{22.5}\)
Total value = 80
Therefore the students participated are 80.
Now find out the how many chose football .
Here Percentage = 37.5%
Total value = 80
Put in the formula
\(37.5 = \frac{Part\ value\times 100}{80}\)
\(Part\ value = \frac{37.5\times 80}{100}\)
\(Part\ value = \frac{3000}{100}\)
Part value = 30
Therefore the 30 students chose football .
