Use Veen Diagram to answer this problem In a group of 14 boy

Use Veen Diagram to answer this problem

In a group of 14 boys and 14 girls, the number of boys who like video games but do not like swimming is the same as the number of girls who like swimming but do not like video games. The number of girls who like video games and swimming is the same as the number of boys who like swimming but do not like video games. The numbers of girls who do not like either video games or swimming is one less than the number of boys who do not like either video games or swimming. Twice as many girls as boys like video games but not swimming. The number of boys who like video games is one more than the number of girls who like video games. Five boys like video games and swimming. How many girls do not like either video games orswimming?

Solution

Use Veen Diagram to answer this problem

In a group of 14 boys and 14 girls, the number of boys who like video games but do not like swimming is the same as the number of girls who like swimming but do not like video games. The number of girls who like video games and swimming is the same as the number of boys who like swimming but do not like video games. The numbers of girls who do not like either video games or swimming is one less than the number of boys who do not like either video games or swimming. Twice as many girls as boys like video games but not swimming. The number of boys who like video games is one more than the number of girls who like video games. Five boys like video games and swimming. How many girls do not like either video games orswimming?

Ans.:

Number of girls who do not like either video games or swimming = 4