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?(1 point)

Responses

7 games
7 games

11 games
11 games

27 games
27 games

33 games

1 answer

Let \( x \) be the number of games Ahmadullah's basketball team played last season. According to the information given:

\[ 21 = \frac{1}{3}x + 12 \]

To solve for \( x \), we first subtract 12 from both sides:

\[ 21 - 12 = \frac{1}{3}x \]

\[ 9 = \frac{1}{3}x \]

Next, we multiply both sides by 3 to eliminate the fraction:

\[ 9 \times 3 = x \]

\[ x = 27 \]

Thus, the number of games they played last season is 27 games.