Question

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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Answer 1

`\large\bold{{Question :}}`

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.

`\large\bold\red{\underline{Solution:}}`

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

Given,

`\longmapsto{}`(100-60)
`\%` of x = 24

`\longmapsto{}`40
`\%`of x = 24

`\longmapsto{}`
`(2x)/(5)` = 24

`\longmapsto{}`x =
`(24 * 5 )/(2)`

`\longmapsto{}`x = 60

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

Happy Learning : )