A football team wins 7 games, which is 35% of the total games played.

Question:

A football team wins 7 games, which is 35% of the total games played. How many games were played in all?

Solution:

Let $x$ be the total number of games played.

Percentage of games won $=35 \%$ of $x$

$=\left(x \times \frac{35}{100}\right)$

$=\frac{35 x}{100}$

Now, $\frac{35 \mathrm{x}}{100}=7$

$\Rightarrow x=\left(7 \times \frac{100}{35}\right)$

$\Rightarrow x=20$

$\therefore$ The total number games played is 20 .

 

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