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) Responses 27 games 27 games 33 games 33 games 7 games 7 games 11 games
Let's represent the number of games they played last season as "x".
According to the problem, Ahmadullah's team will play 12 more games than 1/3 of the number of games they played last season, which can be written as: 1/3*x + 12.
We also know that they will play a total of 21 games this season.
To find the value of "x", we can set up the equation: 1/3*x + 12 = 21.
Now let's solve for "x":
1/3*x = 21 - 12,
1/3*x = 9,
x = 9 * 3,
x = 27.
Therefore, they played 27 games last season.
Let's solve this step-by-step:
1. Let's say x represents the number of games Ahmadullah's basketball team played last season.
2. According to the problem, the number of games they will play this season is 12 more than 1/3 of the number of games they played last season.
3. So, we can write the equation as: x/3 + 12 = 21.
4. To solve for x, we can first subtract 12 from both sides of the equation: x/3 = 21 - 12.
5. Simplifying the right side gives us: x/3 = 9.
6. To isolate x, we can multiply both sides of the equation by 3: 3*(x/3) = 9*3.
7. This simplifies to: x = 27.
Therefore, Ahmadullah's basketball team played 27 games last season.
To solve this real-world problem, we need to use algebra to represent the given information and find the unknown value.
Let's assume the number of games they played last season is represented by "x".
According to the problem, Ahmadullah's basketball team will play 21 games this season, which is 12 more games than 1/3 the number of games they played last season.
We can write this as an equation:
21 = (1/3)x + 12
To solve for x, we first need to isolate the variable by subtracting 12 from both sides of the equation:
21 - 12 = (1/3)x + 12 - 12
9 = (1/3)x
Next, multiply both sides of the equation by 3 to eliminate the fraction:
3 * 9 = 3 * (1/3)x
27 = x
So, the number of games they played last season is 27.
Therefore, the correct answer is 27 games.