Question

Chase and his brother like to play basketball a month ago they decided to keep track of how many games they each one as of today chase has won 18 out of 30 games against his brother how many games would chase have to win in a row in order to have a 75% winning record

Answer 1

If chase won the next 18 matches then he will be able to get a 75% winning record.

Explanation:

Let the no. of games chase has to win be 'y'.

He has won 18 matches out of 30.

If he won y matches more he will have a 75% winning record.

To find the percentage we should calculate,

% = (no. Of matches won) x 100/ (total no. of matches)

As the no. of matches won increases, the total no. of matches also increases.

So y should be added to the matches won and also to the total no. of matches played.

[(18+y) /(30+y) ] x 100 = 75%

[(18+y) (100) ] = 75(30+y)

1800 + 100y = 2250 + 75y

100y - 75y = 2250 - 1800

25y = 450

y = 18

So if chase won next 18 matches then he will be able to get a 75% winning record