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?

1 answer

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%.