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?(1 point)
Let the number of games they played last season be x.
According to the problem, the number of games they will play this season is 12 more than 1/3 times the number of games they played last season.
Therefore, we can write the equation:
x + 12 = (1/3)*x + 21.
Multiplying through by 3 to eliminate the fraction, we get:
3x + 36 = x + 63.
Simplifying the equation, we get:
2x = 27.
Thus, the number of games they played last season, x, is 27/2 = <<27/2=13.5>>13.5 games.
Since they cannot play a fraction of a game, we can conclude that they played 14 games last season. Answer: \boxed{14}.
To solve this problem, we need to set up an equation to represent the given information.
Let's assume the number of games they played last season is represented by the variable "x".
According to the problem, Ahmadullah's basketball team played 21 games this season, which is 12 more games than 1/3 of the games they played last season.
So, we can set up the equation as follows:
21 = (1/3)x + 12
To find the value of x, we need to isolate it on one side of the equation. First, we'll subtract 12 from both sides:
21 - 12 = (1/3)x + 12 - 12
Simplifying:
9 = (1/3)x
To isolate x, we'll multiply both sides of the equation by 3:
3 * 9 = (1/3)x * 3
27 = x
Therefore, Ahmadullah's basketball team played 27 games last season.
Let's solve the problem step by step:
Step 1: Let's represent the number of games they played last season as "x".
Step 2: According to the problem, this season they will play 12 more games than 1/3 of the number of games they played last season. So, the number of games they will play this season is (1/3)x + 12.
Step 3: The problem states that this season they will play 21 games. Therefore, we can set up the equation (1/3)x + 12 = 21.
Step 4: Now, let's solve the equation for x.
(1/3)x + 12 = 21
Subtract 12 from both sides:
(1/3)x = 9
Multiply both sides by 3 to eliminate the fraction:
x = 27
Step 5: Therefore, the number of games they played last season is 27.
So, Ahmadullah's basketball team played 27 games last season.