Solve the following real-world problem: Ahmadullah’s basketball team will play 21 games this season. That is 12 games more than 1/3

1
3
the number of games they played last season. How many games did they play last season?(1 point)
Responses

33 games
33 games

27 games
27 games

7 games
7 games

11 games

1 answer

Let \( x \) represent the number of games Ahmadullah's team played last season. According to the problem, the team will play 21 games this season, which is 12 games more than one-third of the games they played last season. This can be expressed with the following equation:

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

To solve for \( x \), we first isolate the term with \( x \):

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

Simplifying that gives:

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

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

\[ 27 = x \]

So, Ahmadullah's team played 27 games last season.

Thus, the correct response is:

27 games