Define a variable and write an inequality. Then solve. A local summer basecall team plays 20 games each season. So far, they have won 9 games and lost 2. How many more games much they win this season to win at least 75% of all their games?

Just think through the problem.

They have played 11 games and have 9 left. They need to win 15 or more in the season. They have won 9 already. Therefore they need to win 6 or more of the remaining games to win at least 15.

X >or= 6
if X is the number of future games that must be won (out of 9 to be played).

To solve the inequality, you would set up the equation X ≥ 6, with X representing the number of future games that must be won. Since they have already won 9 games, they need to win at least 6 more games.

You can solve this inequality by adding the number of games already won (9) to the number of games that must still be won (X ≥ 6). This will give you the total number of games they need to win:

9 + X ≥ 6

Subtracting 9 from both sides of the equation, you get:

X ≥ 6 - 9

Simplifying further:

X ≥ -3

Since you cannot have a negative number of wins, you can disregard the negative solution. Therefore, the minimum number of games they need to win is 6 (X ≥ 6) to win at least 75% of all their games.