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.

Step-by-step explanation:

Since we have given that

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

So, it is expressed as

$90=\dfrac{x}{100}$

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

$90=\dfrac{x}{100}\times 0.4x\\\\9000=0.4x^2\\\\\dfrac{9000}{0.4}=x^2\\\\22500=x^2\\\\x=\sqrt{22500}\\\\x=150$

Hence, the value of x is 150.

Therefore, Option 'B' is correct.