Solve the following real-world problem: Amanullah'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?
27 games
33 games
7 games
11 games
Let's solve the problem step by step:
Let's assume the number of games they played last season as 'x'.
According to the problem, the number of games they play this season is 12 more than 1/3 of the number of games they played last season.
Therefore, we can set up the equation as follows:
x/3 + 12 = 21
Now, let's solve for x:
x/3 = 21 - 12
x/3 = 9
Multiplying both sides of the equation by 3, we get:
x = 9 * 3
x = 27
Therefore, they played 27 games last season. So the answer is 27 games.
Let's solve the problem step-by-step:
Step 1: Let's assume the number of games they played last season is "x".
Step 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. This can be written as:
21 = (1/3)x + 12
Step 3: To solve this equation, we need to isolate "x" on one side. Subtract 12 from both sides of the equation:
21 - 12 = (1/3)x
9 = (1/3)x
Step 4: To solve for "x", divide both sides of the equation by (1/3):
9 / (1/3) = x
9 * (3/1) = x
27 = x
Therefore, the team played 27 games last season.
To solve this real-world problem, we can break it down into smaller steps.
Step 1: Let's denote the number of games they played last season as 'x'.
Step 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, which can be written as:
21 = (1/3)x + 12
Step 3: To solve for 'x', we need to isolate it on one side of the equation. So, let's subtract 12 from both sides:
21 - 12 = (1/3)x
9 = (1/3)x
Step 4: To solve for 'x', we need to isolate 'x'. Multiply both sides of the equation by 3 to get rid of the fraction:
3 * 9 = 3 * (1/3)x
27 = x
The number of games they played last season is 27 games.
Therefore, the correct answer is 27 games.