, 2008

If a team won $13$ games and lost $7$ games, its winning percentage was $\dfrac{13}{13+7} \times 100\% = 65\%$, because it won $13$ of its $20$ games.

(a) The Sharks played $10$ games and won $8$ of these. Then they played $5$ more games and won $1$ of these. What was their final winning percentage? Show the steps that you took to find your answer.

(b) The Emus won $4$ of their first $10$ games. The team played $x$ more games and won all of these. Their final winning percentage was $70\%$. How many games did they play in total? Show the steps that you took to find your answer.

(c) The Pink Devils started out the season with $7$ wins and $3$ losses. They lost all of their games for the rest of the season. Was there a point during the season when they had won exactly $\dfrac{2}{7}$ of their games? Explain why or why not.