Question

A class consists of boys and girls in the ratio of 2:3. If the ratio of boys and girls who play hockey is 5:9, and the number of boys as well as girls who don't play hockey is 1500 each, find the total number of students.

• A. 10,000
• B. 8000
• C. 11,000
• D. 5000

Answer 1

Answer:

A. 10,000

Let the number of boys = 2x and girls = 3x Boys who play hockey = 2x – 1500 girls who play hockey = 3x -1500 (2x – 1500)/(3x – 1500) = 5/9 x = 2000 Total number of Students = 2x + 3x = 5x = 10,000