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

27 games
27 games

7 games
7 games

33 games
33 games

11 games

1 answer

Let \( x \) be the number of games Ahmadullah's team played last season. According to the problem, the current season's games (21 games) is 12 games more than \( \frac{1}{3} \) of the games played last season. We can set up the equation as follows:

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

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

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

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

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

\[ 9 \times 3 = x \]

\[ x = 27 \]

So, they played 27 games last season. The correct response is:

27 games