Define a variable and write an inequality. Then solve. A local summer baseball team plays 20 games each season. So far, they have won 9 games and lost 2. How many more games must they win this season to win at least 75% of all their games?
.75<=(9+Moregameswin)/20
check that thinking.
To solve this problem, let's define a variable and set up an inequality.
Let's define the variable x as the number of additional games the team needs to win this season.
Since the team has played 20 games in total, we can express the number of games they have left to play as (20 - 9 - 2). Simplifying, this becomes (20 - 11), which is equal to 9.
Now, let's set up the inequality. The team wants to win at least 75% of their total games. In other words, they want to win more than or equal to 75% of 20 games.
To express 75% as a decimal, we divide it by 100: 75/100 = 0.75.
So, the inequality becomes:
(9 + x) / 20 ≥ 0.75
Now, let's solve the inequality to find the value of x, representing the number of additional games the team needs to win.
To isolate x, we'll first multiply both sides of the inequality by 20 to get rid of the denominator:
9 + x ≥ 0.75 * 20
Simplifying:
9 + x ≥ 15
Next, let's isolate x by subtracting 9 from both sides of the inequality:
x ≥ 15 - 9
Simplifying:
x ≥ 6
Therefore, the team must win at least 6 more games this season to achieve a win percentage of at least 75%.