Question

a cricket team won 40% of the total number of matches which it played during the year if the team lost 12 matches in all and no match was draw then find the total number of matches played by the team during the year​

Answer 1

Answer:

20 matches

Step-by-step explanation:

Let total number of matches played by the team during the year be x.

We know that a cricket team won 40% of matches which it played during the year that means 40% of x will be the total number of matches which it played during the year.

Then we know that the team lost 12 matches and no match was draw.

So, when we sum up the matches won by the team and the matches lost by the team, we get the total number of matches played by the team during the year.

➾ 40% of x + 12 = x

➾ 40/100x + 12 = x

➾ 4/10x + 12 = x

➾ (10x - 4x)/10 = 12

➾ 10x - 4x = 120

➾ 6x = 120

➾ x = 20

Therefore, the total number of matches played by the team during the year = 20

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Answer 2

Answer:

Given :-

• A cricket team won 40% of the total number of matches which is played during the year if the team lost 12 matches in all and no match was draw.

To Find :-

• What is the total number of matches played by the team during the year.

Solution :-

Let,

$\leadsto$ The total number of matches played by the team during the year be x.

We have :

$\bigstar$ A cricket team won 40% of the total number of matches which is played during the year.

$\bigstar$ The team lost 12 matches in all and no match was drawn.

According to the question,

$\implies \sf \dfrac{40x}{100} =\: x - 12$

$\implies \sf \dfrac{40x}{100} =\: \dfrac{x - 12}{1}$

By doing cross multiplication we get,

$\implies \sf 40x =\: 100(x - 12)$

$\implies \sf 40x =\: 100x - 1200$

$\implies \sf 40x - 100x =\: - 1200$

$\implies \sf {\cancel{-}} 60x =\: {\cancel{-}} 1200$

$\implies \sf 60x =\: 1200$

$\implies \sf x =\: \dfrac{120\cancel{0}}{6\cancel{0}}$

$\implies \sf x =\: \dfrac{\cancel{120}}{\cancel{6}}$

$\implies \sf x =\: \dfrac{20}{1}$

$\implies \sf\boxed{\bold{\red{x =\: 20}}}$

Hence, the total number of matches played by the team during the year will be 20.

$\therefore$ The total number of matches played by the team during the year is 20 matches .

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