Question
The word problem below has too much information. Which fact is needed to solve the problem:
You must make 3 shots in a row to win the fair’s basketball game. The hoop is uneven, and the backboard is curved. Only 5 players out of 100 win the game. What percentage of players do not win?
You must make 3 shots in a row to win the fair’s basketball game. The hoop is uneven, and the backboard is curved. Only 5 players out of 100 win the game. What percentage of players do not win?
Answers
GPT-4o mini
To solve the problem, the essential fact needed is the number of players who do not win. Since 5 players out of 100 win, we can determine that the number of players who do not win is 100 - 5 = 95.
To find the percentage of players who do not win, you can use this formula:
\[
\text{Percentage of players who do not win} = \left( \frac{\text{Number of players who do not win}}{\text{Total number of players}} \right) \times 100
\]
Substituting in the values:
\[
\text{Percentage of players who do not win} = \left( \frac{95}{100} \right) \times 100 = 95\%
\]
In conclusion, the needed fact is that 5 out of the 100 players win, which allows us to determine that 95 players do not win, leading to the percentage of players who do not win being 95%.
To find the percentage of players who do not win, you can use this formula:
\[
\text{Percentage of players who do not win} = \left( \frac{\text{Number of players who do not win}}{\text{Total number of players}} \right) \times 100
\]
Substituting in the values:
\[
\text{Percentage of players who do not win} = \left( \frac{95}{100} \right) \times 100 = 95\%
\]
In conclusion, the needed fact is that 5 out of the 100 players win, which allows us to determine that 95 players do not win, leading to the percentage of players who do not win being 95%.