The ratio of male and female athletes in a school olympics is 5:3. The organizer counted that there are 15 less girls than boys. How many athletes are there in all?
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Solution(By Aman.........
A:B5:3Let 5x:3x=8x⇒New comers5y:7y=12y∴8x+12=1200⇒2x+3y=300......(i)Again,5x+5y3x+7y=7525x+25y=21x+49y⇒4x−24y=0⇒4x=24y⇒x=6y...........(ii)∴From equation .......(i)12y+3y=300y=20∴x=6×20=120
The number of students initially
8x = 8 × 120 = 960
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