Question
Solve the following real-world problem: Ahmadullah's basketball team will play 21 games this season. That is 12 games more than 1/3 the number of games they played last season. How many games did they play last season?
33 games, 7 games, 27 games, 11 games
33 games, 7 games, 27 games, 11 games
Answers
GPT-4o mini
Let \( x \) be the number of games Ahmadullah's basketball team played last season.
According to the problem, this season they will play 21 games, which is 12 games more than \( \frac{1}{3} \) of the number of games they played last season. We can write this as an equation:
\[
21 = \frac{1}{3}x + 12
\]
Next, subtract 12 from both sides of the equation to get:
\[
21 - 12 = \frac{1}{3}x
\]
\[
9 = \frac{1}{3}x
\]
Now, to solve for \( x \), multiply both sides by 3:
\[
x = 9 \times 3
\]
\[
x = 27
\]
Thus, the number of games that Ahmadullah's basketball team played last season is \( \boxed{27} \).
According to the problem, this season they will play 21 games, which is 12 games more than \( \frac{1}{3} \) of the number of games they played last season. We can write this as an equation:
\[
21 = \frac{1}{3}x + 12
\]
Next, subtract 12 from both sides of the equation to get:
\[
21 - 12 = \frac{1}{3}x
\]
\[
9 = \frac{1}{3}x
\]
Now, to solve for \( x \), multiply both sides by 3:
\[
x = 9 \times 3
\]
\[
x = 27
\]
Thus, the number of games that Ahmadullah's basketball team played last season is \( \boxed{27} \).