Question

90 students represent x percent of the boys at Jones Elementary School. If the boys at Jones Elementary make up 40% of the total school population of x students, what is x?A. 125B. 150C. 225D. 250E. 500

Answer 1

Answer: Option 'B' is correct.

Explanation:

Since we have given that

90 students represent x percent of the boys at Jones Elementary School.

So, it is expressed as

`90=(x)/(100)`

If the boys at Jones Elementary make up 40% of the total school population of x students,

`90=(x)/(100)* 0.4x\\\\9000=0.4x^2\\\\(9000)/(0.4)=x^2\\\\22500=x^2\\\\x=√(22500)\\\\x=150`

Hence, the value of x is 150.

Therefore, Option 'B' is correct.