Your high school softball team has won ten games and lost five

games. To get into the playoffs, your team must win at least 80%
of the games that it plays. If your team wins all its remaining
games, it makes the playoffs. What is the fewest number of games
that your team could have left to play in the season?

10

To determine the fewest number of games your team could have left to play in the season, we need to use algebra.

Let's assume that your team plays 'x' additional games. Since your team has won ten games and lost five games, it has played a total of 10 + 5 = 15 games so far.

To make the playoffs, your team must win at least 80% of its games. Since your team has to win all its remaining games, we can represent the equation as:

(10 + x) / (15 + x) ≥ 0.8

To find the fewest number of games your team could have left to play, we need to solve this inequality.

First, we can multiply both sides of the inequality by (15 + x) to eliminate the fraction:

10 + x ≥ 0.8(15 + x)

Expanding the right side of the equation:

10 + x ≥ 12 + 0.8x

Next, let's subtract 0.8x from both sides of the equation:

0.2x ≥ 2

Dividing both sides by 0.2, we get:

x ≥ 10

Therefore, the fewest number of games your team could have left to play in the season is 10 games.