Question

A cricket team won 60% of the total matches it played during the year. if it lost 24 matches
during the year​

Answer 1

AnswEr:-

Your Answer Is 60 matches.

ExplanaTion:-

Given:-

• % of matches the team won = 60%.

• Number of matches the team lost = 24.

To Find:-

• Total Number Of Matches played by the team.

Now,

Let the Total Number of matches played by the team be x.

And it is given out of total matches the team won 60% of the matches.

So Number of matches it won,

$\tt = \cancel\dfrac{60 \% }{100 \%} \times x.$

$\large \blue{ \boxed{ \red{ \bf = \dfrac{3x}{5}.}}}$

Therefore we get,

• Total number of matches played = x.

• Total number of matches won $\tt=\dfrac{3x}{5}.$

• Total number of matches lost = 24.

And Hence,

$\small{ \bullet\rm number \: \: of \: \: matches \: \: won + number \: \: of \: \: matches \: \: lost = total \: \: number \: \: of \: \: matches.}$

$\tt\mapsto \dfrac{3x}{5} + 24 = x.$

$\tt\mapsto \dfrac{3x + 120}{5} = x. \: \: \rm(by \: \: taking \: \: lcm).$

$\tt\mapsto3x + 120 = 5x.$

$\tt\mapsto3x - 5x = - 120.$

$\tt\mapsto \cancel- \: \: 2x = \cancel - \: \: 120.$

$\tt\mapsto2x = 120.$

$\tt\mapsto x = \cancel\dfrac{120}{2} .$

$\large\red{\tt\mapsto \boxed{ \blue{ \bf x = 60.}}}$

So The total number of matches played by the team is x = 60.

Answer 2

⚘ Given :-

• A cricket team won 60% of the total matches played during the year.

• It lost 24 matches during the year.

⚘ To find :-

• Total Number Of Matches Played.

⚘ Solution :-

Let the total number of matches be x.

Number Of Matches Won = 60%

Number Of Matches Lost = 100% - 60% = 40%

So, The Equation Formed :-

➠ 40% of x = 24.

➠ 40/100 of x = 24.

➠ 4x = 240.

➠ x = 240/40.

➠ x = 60.

Hence, The Total Number of Matches are 60.