Question

A football team won 10 matches out of the total number of matches they played. If
their win percentage was 40, then how many matches did they play in all?​

Answer 1

Solution :

Let us assume that the football team overall played x matches.

They won 10 matches out of the total x matches played.

These 10 matches counts for 40% of the total matches , that is their win percentage ;

> 40% of x = 10

> 40/100 x = 10

> 40 x = 1000

> 4x = 100

> x = 25

Thus , the football team played a total of 25 matches.

This is the required answer .

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Answer 2

Answer:

• Matches Won = 10
• Win Percentage = 40%
• Total Match Played = ?

$\underline{\bigstar\:\textsf{According to the given Question :}}$

$:\implies\sf 40\%\:of\:Total\:Match=10\\\\\\:\implies\sf \dfrac{40}{100} \times Total\:Match=10\\\\\\:\implies\sf \dfrac{2}{5} \times Total\:Match=10\\\\\\:\implies\sf Total\:Match =10 \times \dfrac{5}{2}\\\\\\:\implies\sf Total\:Match = 5 \times 5\\\\\\:\implies\sf Total\:Match = 25$

⠀

$\therefore\:\underline{\textsf{Hence, they played \textbf{25 matches} in total}}.$