Question

Quick! Andrew has to play 15 games in a chess tournament. At some point during the tournament he has won half of the games he has played, he has lost one-third of the games he has played and two have ended in a draw. How many games has Andrew still to play?

Answer 1

`x` - the number of the games he played

`(x)/(2)` - the number of the games he won

`(x)/(3)` - the number of the games he lost

`x=(x)/(2)+(x)/(3)+2\Big|\cdot6\\6x=3x+2x+12\\x=12`

`15-12=3`

so, he has still 3 games to play