Question

110 members of a sports club play at least one of d games football, basketball nd volley ball. if 20 play football and basketball, 15 play football nd volleyball only, 26 play basketball and volleyball. x play all the three games, 2x each play one game, how many play basketball all together?
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Answer 1

$\boldsymbol{\mathbf{Answer}}$

$\boldsymbol{\mathbf{67\,members\, play\, basketball \, altogether}}$

$\boldsymbol{\mathbf{Step-by-step explanation}}$

As Given ,

Members play football and basketball = 20

Members  play football and vallyboll = 15

Members play basketball and volleyball = 26

Members play all games = x

Members play only one game = 2x

There are total number of members  = 110

From above data we can write,

110 = 20 + 15 + 26 + x + 2x + 2x + 2x

110 = 61 + 7x

7x = 110 - 61

7x = 49

x = 7members

To find,

Member play basketboll altogether

= 20 + 26 + 2x + x

We know that x = 7,

= 20 + 26 + 14 + 7

=  67 members

$\boldsymbol{\mathbf{Member\, play\, basketboll\, altogether\, is\, 67\, members }}$