The ratio of boys to girls in a school is 8:5. If 20 more girls join the school, the new ratio of boys to girls becomes 3:2. What is the total number of students in the school initially?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 780.
Let Boys = 8x and Girls = 5x
So, 8x/(5x + 20) = 3/2
⇒ 16x = 15x + 60
⇒ x = 60
Total number of students initially = 8x + 5x = 13x = 13 × 60 = 780