Answer:
7200 people
Step-by-step explanation:
Let's say x amount of people tried out.
After round 1: 1/2 x are left.
After round 2: 1/3 (1/2 x) are left
After round 3: 1/4 (1/3(1/2 x))) are left
Each time we multiply by the fraction that are left. By the end we will have
1/6(1/5(1/4(1/3(1/2 x))))
So to find it multiply the denominator out:
[tex]\frac{1}{6}*\frac{1}{5}*\frac{1}{4}*\frac{1}{3}*\frac{1}{2} x\\\\\\\frac{1}{6*5*4*3*2}x\\\\\frac{1}{720}x[/tex]
To find x, we set it equal to 10.
[tex]\frac{1}{720}x =10\\x= 10*720\\x=7200[/tex]
