Solve the following real-world problem: Ahmadullah 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?
Let's solve this problem step by step.
Let the number of games they played last season be x.
According to the problem, Ahmadullah basketball team will play 12 more games than 1/3 the number of games they played last season.
So, the number of games they will play this season can be represented as (1/3)x + 12.
We are given that this number is 21, so we can write it as an equation:
(1/3)x + 12 = 21.
To solve for x, let's first subtract 12 from both sides of the equation:
(1/3)x = 21 - 12.
Simplifying the right side, we have:
(1/3)x = 9.
To isolate x, we need to multiply both sides of the equation by 3:
3 * (1/3)x = 3 * 9,
x = 27.
Therefore, Ahmadullah basketball team played 27 games last season.
To find the number of games Ahmadullah basketball team played last season, we can set up an equation:
Let's say the number of games they played last season is represented by 'x'.
According to the given information, they played 12 more games than 1/3 of the number of games they played last season, so we can write the equation as:
x + 12 = (1/3) * x
To solve this equation and find the value of 'x', we will multiply both sides of the equation by 3 to eliminate the fraction:
3 * (x + 12) = 1 * x
3x + 36 = x
Now, we will bring all the 'x' terms to one side and the constant terms to the other side by subtracting 'x' from both sides of the equation:
3x - x + 36 = 0
2x + 36 = 0
Next, we will isolate the 'x' term by subtracting 36 from both sides of the equation:
2x = -36
Divide both sides by 2 to solve for 'x':
x = -36 / 2
x = -18
However, it does not make sense to have a negative number of games played. Therefore, in this case, there is no valid solution for the number of games they played last season.
Please provide the correct information or rephrase the problem if there was any mistake.
To solve this real-world problem, we can use algebraic equations. Let's start by breaking down the given information and assigning variables.
Let's assume the number of games they played last season is "x".
According to the problem, Ahmadullah's basketball team will play 21 games this season. This is 12 more games than 1/3 of the number of games they played last season.
So, we can write the equation as:
21 = (1/3)x + 12
To solve this equation and find the value of "x," we need to isolate "x" on one side of the equation. Here's how we can do it:
First, let's subtract 12 from both sides to move it to the right side of the equation:
21 - 12 = (1/3)x
Now, simplify the equation:
9 = (1/3)x
To isolate x, we need to get rid of the fraction (1/3). We can multiply both sides of the equation by 3:
3 * 9 = (1/3) * 3 * x
27 = x
Therefore, the number of games they played last season, x, is equal to 27 games.