Question

I need help with 34. Please help if you can. Thank you !

Answer 1

7200 people

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:

`(1)/(6)*(1)/(5)*(1)/(4)*(1)/(3)*(1)/(2) x\\\\\\(1)/(6*5*4*3*2)x\\\\(1)/(720)x`

To find x, we set it equal to 10.

`(1)/(720)x  =10\\x= 10*720\\x=7200`