Question

The Indian cricket team won 50% of the matches played in the first two weeks of the

NatWest series in Australia. However, at the end of the series its success rate was 75%. If
the team had played 6 matches in the first two weeks and they then won all the matches
they played after the first two weeks, how many matches did they play after the first
two weeks?

Answer 1

the Indian cricket team played 13 matches after the first two weeks.

Explanation:

Let's assume that the Indian cricket team played x matches after the first two weeks.

We know that the team won 50% of the matches played in the first two weeks. So, out of the 6 matches played in the first two weeks, they won 0.5*6 = 3 matches.

We also know that at the end of the series, their success rate was 75%. This means that out of the total number of matches played in the entire series, they won 75% of them. Let's say the total number of matches played in the series is y. Then, we can write:

Number of matches won = 0.5*6 + x (matches won in the first two weeks + matches won after the first two weeks)

Total number of matches played = 6 + x (matches played in the first two weeks + matches played after the first two weeks)

According to the given information, the success rate at the end of the series was 75%. So we can write:

Number of matches won / Total number of matches played = 75/100

Substituting the values, we get:

(0.5*6 + x) / (6 + x) = 75/100

Simplifying this equation, we get:

12 + 4x = 25 + 3x

x = 13

Therefore, the Indian cricket team played 13 matches after the first two weeks.