The girls' high school basketball team played 12 games. They won 6 more games than they lost. Find the number of games the basketball team won.
Let x = games won
x + x - 6 = 12
2x = 18
x = 9
Let's call the number of games the team lost as 'x'.
According to the problem, the team won 6 more games than they lost, so the number of games they won is 'x + 6'.
We know that the total number of games played is 12, so the sum of the games they won and lost is equal to 12.
Therefore, we can write the equation as:
(x) + (x + 6) = 12
Simplifying the equation:
2x + 6 = 12
Subtracting 6 from both sides of the equation:
2x = 6
Dividing both sides of the equation by 2 to solve for 'x':
x = 3
So, the girls' high school basketball team won 3 + 6 = 9 games.
To find the number of games the basketball team won, let's break down the given information:
We know that the girls' high school basketball team played a total of 12 games. Let's represent the number of games they lost as "x."
Since they won 6 more games than they lost, the number of games they won can be represented as "x + 6".
The sum of the games lost and games won should equal the total number of games played: x + (x + 6) = 12.
Let's solve this equation to find the value of x:
2x + 6 = 12
Subtract 6 from both sides:
2x = 6
Divide both sides by 2:
x = 3
So, the basketball team lost 3 games (x = 3).
Now, to find the number of games they won, substitute the value of x into the expression we previously defined: x + 6 = 3 + 6 = 9.
Therefore, the girls' high school basketball team won 9 games.