Question

A half of a class and a half of a student got A on a test. If yet another student got an A, then two-thirds of the class would have an A for the test! How many students are there in that class?

Answer 1

9

Explanation:

1/2x+2/3=2/3x

2/3=4/6x-3/6x=1/6x

x=9

Answer 2

6 students.

Explanation:

let the number of students in class be x

Since Half of the class represents half of the students, therefore

Number of student who got A in test =
`(x)/(2)`

Now if one more student got A in test then the number of students who got A in test will be
`(x)/(2) +1`

Now according to equation,

`(2x)/(3) = (x)/(2) +1`

`(2x)/(3) - (x)/(2) = 1`

Further solving

`(4x-3x)/(6) = 1`

`x = 6`

Hence the total number of students in class is 6.