Question

A county cricket team has won 10 matches and lost 4. If the matches played represented 70% of the total matches in the tournament, then how many more matches should the team win so as to have a record of exactly 75% wins?

Answer 1

Cricket team has 14 matches for now ,as per given data

(No matter won or lost)

14 = 10 win + 4 lost

This represents only 70 % of the played matches

Let x be the total number of the matches played,

So,

(14/x)×100 = 70

x= (1400)/(70)

x=20

So,

The total number of matches played is 20

Now,

For 75% winning ration let y be the extra matches that were played as well as won,

So,

( (y+10)/(20+y) ) ×100 = 75

40 +4y = 60 +3y

y =20

So,

20 more matches should be played to have a winning ratio of 75%

Hope this helps !!!!!!!!!!!!!!

Answer 2

Let the total number of matches to played in the tournament be 'x'.

Given that A county cricket team has won 10 matches and lost 4.

That means total number of matches played = 14.

So,

= > 70% of x = 14

= > (70/100) * x = 14

= > 70x = 1400

= > x = 20.

So, the number of matches to be played = 20.

They have a record of exactly 75% wins = 20 * 75/100

= > 15.

Therefore, the number of matches should the team win = 15 - 10 = 5.

Hope this helps!