Question

IF ONE THIRD OF THE SCHOOL STUDENTS LIKE MATHEMATICS AND 400 STUDENTS DO NOT LIKE MATHEMATICS , THEN HOW MANY STUDENTS DOES THE SCHOOL HAVE ?

A. 600 B. 800
C. 200 D. 1000

Answer 1

There are 600 students in this school.

Explanation:

Let p represent the total population of the school.

Then (1/3)p represents the number of students who like math. Subtracting this (1/3)p from p gives an expression representing those who do not like math:

p - (1/3)p = (2/3)p

400 students do not like math, so (2/3)p = 400.

Solve this for p by multiplying both sides by (3/2):

(3/2)(2/3)p = (3/2)(400), which simplifies to p = 600.

There are 600 students in this school.