Solve the following real-world problem: Ahmadullah’s basketball team will play 21 games this season. That is 12 games more than 13 the number of games they played last season. How many games did they play last season?(1 point)Responses
7 games
33 games
27 games
11 games
Let x be the number of games they played last season.
The problem states that Ahmadullah's basketball team will play 12 games more than 13 the number of games they played last season, so the equation is 13x + 12 = 21.
Subtracting 12 from both sides of the equation, we get 13x = 9.
Dividing both sides of the equation by 13, we get x = 9/13 = 0.6923076923076923.
Therefore, they played 0 or 1 whole games last season, which would round to 0 or 1 games.
Since 0 games is not one of the options, they must have played 1 game last season.
Therefore, the answer is 1 game.
To solve this problem, we can set up an equation to represent the given information.
Let x be the number of games played last season.
We know that Ahmadullah's basketball team will play 21 games this season, which is 12 games more than the number of games they played last season. This can be represented as:
x + 12 = 21
To find the value of x, we can rearrange the equation to solve for x:
x = 21 - 12
x = 9
Therefore, Ahmadullah's basketball team played 9 games last season.
To solve this real-world problem, you can use basic algebraic equations. Let's assume the number of games the basketball team played last season as 'x'.
According to the problem, this season they will play 12 games more than 13 times the number of games they played last season. So, this season they will play 13x + 12 games.
It is also given that this season they will play a total of 21 games. So, we can set up the equation: 13x + 12 = 21.
To solve for 'x', we can isolate the variable by subtracting 12 from both sides of the equation: 13x = 21 - 12.
Simplifying the equation: 13x = 9.
Finally, we can solve for 'x' by dividing both sides of the equation by 13: x = 9/13.
Since the question asks for a whole number, we know that Ahmadullah's team cannot have played a fraction of a game. Therefore, the correct answer is 11 games. So, they played 11 games last season.