Question

The basketball team played 28 games this season. They lost only 7 games. What percent of the games played did they win? also find the ratio of
a) no. of games won to the no. of games lost
b) % of games won to the % of games lost
are both the ratios equivalent?

Answer 1

$$\begin{gathered} \mathrm{Dear}\mathrm{Student}, \\ \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{games}\mathrm{played}=28 \\ \mathrm{Number}\mathrm{of}\mathrm{games}\mathrm{Lost}=7 \\ \mathrm{So}\mathrm{number}\mathrm{of}\mathrm{games}\mathrm{won}=28-7=21 \\ \mathrm{win}\%=\left[\frac{21}{28}\times 100\right]\%=75\% \\ \mathrm{a}) \\ \mathrm{ratio}\mathrm{of}\mathrm{won}\mathrm{to}\mathrm{lost}=\frac{\mathrm{no}.\mathrm{of}\mathrm{games}\mathrm{won}}{\mathrm{no}.\mathrm{of}\mathrm{games}\mathrm{lost}}=\frac{21}{7}=\frac{3}{1}=3:\hspace{0.17em}1 \\ \mathrm{b}) \\ \mathrm{Percentage}\mathrm{of}\mathrm{games}\mathrm{lost}=\left[\frac{7}{28}\times 100\right]\%=25\% \\ \mathrm{So}\mathrm{ratio}\mathrm{of}\mathrm{won}\%\mathrm{to}\mathrm{loss}\%=75\%:25\%=3:1 \\ \mathrm{Yes}\mathrm{both}\mathrm{ratios}\mathrm{are}\mathrm{same}. \\ \mathrm{Regards} \end{gathered}$$