Question

In a football tournament, it was decided that on winning a match +1 point will be awarded to the winning team and -1 point will be awarded to the losing team. A team played in-total 14 matches in a season and won 4 matches while no matches were drawn. Then at the end of the season, the team's total points will be points.

Answer 1

Solving by chip model:

In a season, the team won $4\text{matches}$.
Hence, the points earned by the team are


The team lost $10\text{matches}$.
Hence, the points earned by the team are


$\therefore$ Total number of points that the team earned at the end of season:


From the above illustration, it is clear that 4 positive chips and 4 negative chips cancel out each other. The remaining chips are only negative chips, which are equivalent to $-6$.

$\therefore$ The team earned $-6$ points at the end of season.