To find the percentage of games the baseball team won, follow these steps:
1. Determine the total number of games played:
- The number of games won is 20.
- The number of games lost is 10.
- Therefore, the total number of games played is [tex]\( 20 \, \text{(games won)} + 10 \, \text{(games lost)} = 30 \, \text{games} \)[/tex].
2. Calculate the winning percentage:
- The winning percentage can be found using the formula:
[tex]\[
\text{Winning Percentage} = \left( \frac{\text{Number of Games Won}}{\text{Total Number of Games}} \right) \times 100
\][/tex]
- Plug in the values:
[tex]\[
\text{Winning Percentage} = \left( \frac{20}{30} \right) \times 100
\][/tex]
3. Perform the division and multiplication:
- First, divide 20 by 30:
[tex]\[
\frac{20}{30} = \frac{2}{3} \approx 0.6666666666666666
\][/tex]
- Next, multiply by 100 to convert the decimal to a percentage:
[tex]\[
0.6666666666666666 \times 100 \approx 66.66666666666666 \%
\][/tex]
4. Choose the correct option based on the calculated percentage:
- The choices given are:
- [tex]\( 33 \frac{1}{3} \% \)[/tex]
- [tex]\( 50 \% \)[/tex]
- [tex]\( 66 \frac{2}{3} \% \)[/tex]
- [tex]\( 200 \% \)[/tex]
- The correct option that matches [tex]\( 66.66666666666666 \% \)[/tex] is [tex]\( 66 \frac{2}{3} \% \)[/tex].
Therefore, the baseball team won [tex]\( 66 \frac{2}{3} \% \)[/tex] of their games.
