Question

Axel and his brother like to play tennis. About three months ago they decided to keep track of how many games each has won. As of today, Axel has won 18 out of the 30 games against his brother.

a. How many games would Axel have to win in a row in order to have a 75% winning record?
b. How many games would Axel have to win in a row in order to have a 90% winning record?
c. Is Axel ever able to reach a 100% winning record? Explain why or why not.
d. Suppose that after reaching a winning record of 90% in part (b), Axel had a losing streak. How many games in a row would Axel have to lose in order to drop down to a winning record of 60% again?

Answer 1

A.22

B.27

C. I do not think so because no one could win every single time.

D. 14

Explanation:

A.22

B.27

C. I do not think so because no one could win every single time.

D. 14

I will tell you how I got all of these answers. For the first one is just plug in the number in is /of = percent / 100.

It would look like X/30=75/100.

Then you would cross multiply 30 x 75 to get 2,250.

Then you would divide that by 100 to get 22.5. I just rounded down.

Then you would do the same for the next one just replace the 75 with 90.

For the last question what I did was take the answer from B and replace the 30 and replace the 90 with the 55. And follow the same steps. I hope that this helps you.