Question

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

Answer 1

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:

$\frac{1}{6}*\frac{1}{5}*\frac{1}{4}*\frac{1}{3}*\frac{1}{2} x\\\\\\\frac{1}{6*5*4*3*2}x\\\\\frac{1}{720}x$

To find x, we set it equal to 10.

$\frac{1}{720}x =10\\x= 10*720\\x=7200$