Solve the following real-world problem: Ahmadullah's basketball team will play 21 games this season. That is 12 more games than 1 over 3 the number of games they played last season. How many games did they play last season?
27 games
33 games
7 games
11 games
Let's assign a variable to represent the number of games they played last season.
Let x be the number of games they played last season.
According to the problem, Ahmadullah's basketball team will play 21 games this season, which is 12 more games than 1 over 3 the number of games they played last season.
This can be represented as:
21 = (1/3)x + 12
To solve for x, we can subtract 12 from both sides of the equation:
21 - 12 = (1/3)x
9 = (1/3)x
To isolate x, we can multiply both sides of the equation by 3:
3 * 9 = 3 * (1/3)x
27 = x
Therefore, they played 27 games last season.
To solve this real-world problem and find out how many games Ahmadullah's basketball team played last season, we can use algebraic equations. Let's break it down step by step:
Let's assume the number of games they played last season is denoted by 'x'.
According to the problem statement, Ahmadullah's team will play 21 games this season, which is 12 more games than 1 over 3 the number of games they played last season.
Mathematically, we can write this as:
21 = (1/3)x + 12
To isolate the variable 'x', we need to solve this equation.
First, let's subtract 12 from both sides of the equation:
21 - 12 = (1/3)x
Simplifying:
9 = (1/3)x
To isolate 'x', we need to multiply both sides of the equation by 3:
3 * 9 = (1/3)x * 3
27 = x
Therefore, the number of games Ahmadullah's basketball team played last season is 27 games.
The correct answer is: 27 games.
Let's solve the problem step-by-step:
Step 1: Let's represent the number of games played last season by the variable "x".
Step 2: The problem states that the number of games played this season is 12 more than 1 over 3 the number of games played last season. So we can write this as: 1/3x + 12 = 21.
Step 3: Let's solve for x by subtracting 12 from both sides of the equation: 1/3x = 21 - 12.
Step 4: Simplifying the right side of the equation gives us: 1/3x = 9.
Step 5: To solve for x, we need to multiply both sides of the equation by 3: 3 * 1/3x = 3 * 9.
Step 6: Simplifying the left side of the equation gives us: x = 27.
Therefore, Ahmadullah's basketball team played 27 games last season.
So the correct answer is: 27 games.