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 x be the number of games they played last season.
According to the problem, 21 = x/3 + 12.
Subtracting 12 from both sides: 21 - 12 = x/3.
Combining like terms: 9 = x/3.
To isolate x, multiply both sides by 3: 27 = x.
Therefore, they played 27 games last season.
Let's solve the problem step-by-step.
Step 1: Let's represent the number of games they played last season as 'x'.
Step 2: We know that they will play 21 games this season.
Step 3: The number of games they played this season is 12 more than 1/3 of the number of games they played last season.
Step 4: Therefore, we can write the equation: x + 12 = (1/3)x
Step 5: Multiply both sides of the equation by 3 to get rid of the fraction: 3(x + 12) = x
Step 6: Distribute on the left side: 3x + 36 = x
Step 7: Subtract 'x' from both sides: 2x + 36 = 0
Step 8: Subtract 36 from both sides: 2x = -36
Step 9: Divide both sides by 2: x = -18
Step 10: The number of games they played last season is -18 games.
However, it is not possible to have a negative number of games. Therefore, there might be an error in the given problem or a missing piece of information.
To solve this problem, we can set up an equation. Let's denote the number of games Ahmadullah's basketball team played last season as "x".
According to the problem, they played 1/3 of the number of games they will play this season. This means that they played x/3 games last season.
We are also given that they will play 21 games this season, which is 12 more than 1/3 of the games they played last season.
Putting it all together, we can create the equation:
x/3 + 12 = 21
To solve this equation, we can start by isolating x by subtracting 12 from both sides of the equation.
x/3 = 21 - 12
x/3 = 9
Next, we can solve for x by multiplying both sides of the equation by 3.
x = 9 * 3
x = 27
Therefore, Ahmadullah's basketball team played 27 games last season.