Question

A tennis player has won 24 out of 36 matches. His sponsor says that he must win 70% of his total number of matches to qualify for a bonus. If there are 14 matches remaining on the tour, how many must he win to collect his bonus?

Answer 1

He must win 11 more matches

Answer 2

Answer:

He must win 11 more matches to qualify for the bonus.

Step-by-step explanation:

24/36 * 100 = 67% (to the nearest %) - This is the current percentage of what the Tennis player has won.

If we add 14 more matches on to the 36 the player has already played, we know that the Tennis player plays 50 matches in total.

Let's say the Tennis player was playing 100 matches, they would need to win 70 or more to qualify for the bonus. Because the player is playing half this amount of matches, we half the amount of games they have to win...

35/50 games or more must be won to qualify for the bonus. The Tennis player has already won 24 matches, so must win 11 more matches to qualify for the bonus.

Hope that helps!