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

$\dfrac{x}{2}$ - the number of the games he won

$\dfrac{x}{3}$ - the number of the games he lost

$x=\dfrac{x}{2}+\dfrac{x}{3}+2\Big|\cdot6\\6x=3x+2x+12\\x=12$

$15-12=3$

so, he has still 3 games to play