SOLVE THE FOLLOWING REAL WORLD PROBLEM!!!!-
Arins 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 that play last season
Let's say the number of games they played last season is x.
According to the problem, this season's number of games is 12 more than 1/3 of the number of games they played last season. We can represent this as:
21 = (1/3)x + 12.
To solve this equation, we first subtract 12 from both sides:
21 - 12 = (1/3)x.
Simplifying:
9 = (1/3)x.
To isolate x, we multiply both sides of the equation by 3/1 (or 3):
9 * (3/1) = (1/3)x * (3/1).
27 = x.
Therefore, they played 27 games last season.
To solve this problem, let's break it down into steps:
Step 1: Determine the number of games Arin's basketball team played last season. Let's denote this as "x".
Step 2: Calculate 1/3 of the number of games they played last season: (1/3) * x.
Step 3: Add 12 to 1/3 of the number of games they played last season to find the total number of games they will play this season: (1/3) * x + 12 = 21.
Step 4: Solve the equation to find the value of x.
Let's solve the equation:
(1/3) * x + 12 = 21.
Subtract 12 from both sides:
(1/3) * x = 9.
Multiply both sides by 3 to get rid of the fraction:
x = 9 * 3.
Therefore, Arin's basketball team played 27 games last season.
To solve this real-world problem, we need to set up an equation and solve for the unknown quantity. Let's break it down step by step:
Step 1: Let's assume the number of games Arin's basketball team played last season is "x".
Step 2: We know that the number of games they will play this season is 21.
Step 3: 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.
Step 4: To express this relationship mathematically, we can set up the equation:
21 = (1/3)x + 12
Step 5: Now, let's solve the equation to find the value of "x," which represents the number of games they played last season.
To isolate "x," we need to move 12 to the other side of the equation:
21 - 12 = (1/3)x
9 = (1/3)x
To remove the fraction, we can multiply both sides of the equation by 3:
3 * 9 = 3 * (1/3)x
27 = x
Therefore, Arin's basketball team played 27 games last season.