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 w = games won
w + w-6 = 12
2w = 18
w = 9
HOw can i explain this to a 4th grade student as it seems her teacher did not do the number substitution like W and dividing to get the answer.
To find the number of games the basketball team won, we can set up an equation based on the given information.
Let's assume the number of games the team lost is "x." Since they won 6 more games than they lost, the number of games they won is "x + 6."
According to the problem, the total number of games played is 12. So, the equation becomes:
Number of games won + Number of games lost = Total number of games played
(x + 6) + x = 12
Simplifying the equation:
2x + 6 = 12
Next, we can solve for x by subtracting 6 from both sides:
2x = 12 - 6
2x = 6
Finally, divide both sides by 2 to solve for x:
x = 6 / 2
x = 3
Therefore, the number of games the basketball team won is:
x + 6 = 3 + 6 = 9
The basketball team won 9 games.