Solve the following real-world problem: Ahmadullah's basketball team will play 21 games this season. That is 12 more games than 1/3 the number of games they played last season. How many games did they play last season? Responses A. 27 games B. 33 games C. 7 games D. 11 games
Let's denote the number of games they played last season as "x". According to the problem, Ahmadullah's team will play 21 games this season, which is 12 more games than 1/3 times the number of games they played last season.
This can be represented by the equation: 21 = (1/3)*x + 12.
To solve for x, we need to isolate it on one side of the equation. Begin by subtracting 12 from both sides:
21 - 12 = (1/3)*x + 12 - 12,
9 = (1/3)*x.
To get rid of the fraction 1/3, we can multiply both sides of the equation by 3:
3 * 9 = (1/3)*x * 3,
27 = x.
Therefore, the team played 27 games last season.
The correct response is A. 27 games.