Solve the following real-world problem: Amatullah’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

27 games
27 games

33 games
33 games

11 games

1 answer

Let the number of games Amatullah’s basketball team played last season be represented by \( x \).

According to the problem, we know that:

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

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

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

This simplifies to:

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

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

\[ 3 \cdot 9 = x \]

This gives us:

\[ x = 27 \]

Thus, the number of games Amatullah's team played last season is 27 games.

So, the correct response is 27 games.