Jack and Jill played a game for two people. In each game, the winner was awarded 2 points and the loser 1 point. No games were drawn. Jack won exactly 4 games and Jill had a final score of 10 points. How many games did they play?
+26367 Jack and Jill played a game for two people.
In each game, the winner was awarded 2 points and the loser 1 point.
No games were drawn. Jack won exactly 4 games and Jill had a final score of 10 points.
How many games did they play?
\(\begin{array}{|r|cll|} \hline \text{Jack won }4 \text{ games} & & \text{Jill lose } 4 \text{ games} \\ \text{Jack lose }x \text{ games} & & \text{Jill won } x \text{ games} \\ && 4*1\text{points} + x*2\text{points} = 10 \\ && x = 3 \\ \text{Jack lose }3 \text{ games} & & \text{Jill won } 3 \text{ games} \\\\ \text{They did play } 4+3=7 \text{ games } \\ \hline \end{array} \)
