Problem C

What’s the Score?

In gym class, the yellow team and the blue team played soccer. Ali doesn’t remember the final score of the game, but she does remember the following.

There were six goals scored in total.

Neither team scored more than two goals in a row at any point in the game.

The blue team won the game.

Determine all the possible final scores and the different ways each score could have been obtained.

**Themes: **Algebra, Number Sense