Question

If there are 420 students surveyed, which equation can be used to find the number of students s who prefer rap? Pop: 5/8 Jazz: 1/8 Rap: 1/4 Answers: A. 1/4s = 420 B. S = 1/4 * 420 C. S + 1/4 = 420 D. 420 + s = 1/4

Answer 1

B.
`s=(1)/(4)*420`

Explanation:

Total number of students surveyed = 420

Of which only
`(1)/(4)` prefer rap.

So, the number of people who like rap is the product of the fraction of people who prefer rap and the total number of students.

`\text{Number of students who prefer rap}=s=(1)/(4)*420\\\Rightarrow s=105`

The number of students that prefer rap is 105

So the equation is
`s=(1)/(4)*420`.