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a football team won 65% of the total matches they played during the year. if they lost 21 matches in all and no matches were drawn, find the number of matches played during the year.
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Respuesta :

MissAbhi

[tex]\large\bold{{Question :}}[/tex]

A football team won 65% of the total matches they played during the year. if they lost 21 matches in all and no matches were drawn, find the number of matches played during the year.

[tex]\large\bold\red{\underline{Solution:}}[/tex]

Here, let's assume no. of matches played be = x

Given,

[tex]\longmapsto{}[/tex](100-60)[tex] \%[/tex] of x = 24

[tex]\longmapsto{}[/tex]40 [tex]\% [/tex]of x = 24

[tex]\longmapsto{}[/tex][tex]\frac{2x}{5}[/tex] = 24

[tex]\longmapsto{}[/tex]x = [tex]\frac{24 \times 5 }{2}[/tex]

[tex]\longmapsto{}[/tex]x = 60

Hence, the number of matches played during the whole year is [tex]\large\bold\red{\underline{60}}[/tex].

Happy Learning : )

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