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

Answer:

6 students.

Step-by-step 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 = $\frac{x}{2}$

Now if one more student got A in test then the number of students who got A in test will be $\frac{x}{2} +1$

Now according to equation,

$\frac{2x}{3} = \frac{x}{2} +1$

$\frac{2x}{3} - \frac{x}{2} = 1$

Further solving

$\frac{4x-3x}{6} = 1$

$x = 6$

Hence the total number of students in class is 6.

Answer 2

Answer:

9

Step-by-step explanation:

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

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

x=9