Question

A football team won 10 games from the total they played. This was 40% of the total. How many games were played in all ?​

Answer 1

Question :-

• A football team won 10 games from the total they played. This was 40% of the total. How many games were played in all ?

Given :-

• They won 10 games from the total they played.
• This was 40% of the total games played.

To Find :-

• Total Games Played .

Solution :-

Let x be the Total Number of the games played.

They have won 40% of total games = 40% of x

According to the Situation :-

$\quad {:} \longrightarrow \sf{\bf{40\% \: of \: x \: = \: 10}}$

$\quad {:} \longrightarrow \sf{\sf{40\% \: of \: x \: = \: 10}}$

$\quad {:} \longrightarrow \sf{\sf{ \dfrac{4 \cancel0}{10 \cancel0} \: \green\times \: x \: = \: 10}}$

$\quad {:} \longrightarrow \sf{\sf{ \cancel \dfrac{4}{10 } \: \green\times \: x \: = \: 10}}$

$\quad {:} \longrightarrow \sf{\sf{ \dfrac{2x}{5 } \: = \: 10}}$

$\quad {:} \longrightarrow \sf{\sf{ 2x\: = \: 10 \: \times \: 5}}$

$\quad {:} \longrightarrow \sf{\sf{ 2x\: = \: 50}}$

$\quad {:} \longrightarrow \sf{\sf{ x\: = \: \cancel \dfrac{50}{2} }}$

$\quad {:} \longrightarrow \sf{\bf{ x\: = \: 25 }}$

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$\begin{gathered}\begin{gathered}\qquad \therefore\: \sf{ Total \: Games \: Played \: = \underline {\underline{ 25}}}\\\end{gathered}\end{gathered}$

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More For Knowledge :-

Steps to Solve this Type of Question

1. Obtain the number, say x
2. Obtain the required percent , say P%
3. Multiple x by P and divide by 100 to obtain the required P% of x .

Formula :-

$\quad {:} \longrightarrow \sf\boxed{\bf{P\% \: of \: x \: = \: \dfrac{P}{100}\times \: x}}$

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Answer 2

Answer:

Total number of games won = 10 games

ATQ, 40% was of the total.

So, the number of games played in all=?

Let the total number of games be x.

Hence, As per the question;

40% of x = 10

40/100 * x = 10

40x/100 = 10

4x/10 = 10

2x/5 = 10

Shift 5 from the denominator to the R.H.S.

So, 2x = 10*5

2x = 50

x = 50/2

x = 25

Therefore, the total number of games played = 25 games

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Step-by-step explanation: