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.
Let's assume the number of games they played last season is "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 represented as:
1/3x + 12 = 21
Subtracting 12 from both sides:
1/3x = 9
Multiplying both sides by 3 to get rid of the fraction:
x = 27
Therefore, Ahmadullah's basketball team played 27 games last season.
To solve this problem, we can follow these steps:
Step 1: Let's assume the number of games played last season is x.
Step 2: Since the team will play 21 games this season, we know that 21 is 12 more than 1/3 the number of games played last season, so we can set up the equation:
21 = (1/3)x + 12
Step 3: Now, let's solve the equation for x.
Subtract 12 from both sides of the equation:
21 - 12 = (1/3)x
Simplify:
9 = (1/3)x
Step 4: To isolate x, multiply both sides of the equation by 3:
3 * 9 = x
Simplify:
27 = x
So, the team played 27 games last season.
To solve this problem, we need to set up an equation and solve for the unknown variable, which represents the number of games Ahmadullah's basketball team played last season.
Let's represent the unknown variable as "x," which stands for the number of games they played last season.
According to the problem, they played 12 more games than 1/3 the number of games they played last season. This can be expressed as:
x/3 + 12 = 21
To solve this equation, we can follow these steps:
1. Multiply both sides of the equation by 3 to eliminate the fraction:
3 * (x/3 + 12) = 3 * 21
This simplifies to:
x + 36 = 63
2. Next, isolate the variable by subtracting 36 from both sides of the equation:
x + 36 - 36 = 63 - 36
This simplifies to:
x = 27
Therefore, Ahmadullah's basketball team played 27 games last season.