The ratio of the number of students in Class A to Class B is 4:5. If 8 students are transferred from B to A, the ratio becomes 5:6. Find the original number of students in each class.
Show answer & explanation
Correct answer: A
Explanation
Has been given :
A : B = 4 : 5
8 students go from B to A ⇒ New ratio = 5 : 6
According to the formula:
Let A = 4x, B = 5x
New A = 4x + 8
New B = 5x − 8
(4x + 8) / (5x − 8) = 5 / 6
6(4x + 8) = 5(5x − 8)
24x + 48 = 25x − 40
x = 88
A = 4x = 352
B = 5x = 440
A = 352, B = 440