The bulldogs won twice as many games as they lost. If they played a total of 36 games, how many did they win?
number of games lost -- x
number of games won -- 2x
assuming there were no ties ....
x + 2x = 36
x=12
the won 24 games and lost 12
You made a mistake with they won to the won 🤗 otherwise everything is good
Well, if the bulldogs won twice as many games as they lost, then they must have won some games and lost some games too. Let's assume they lost x number of games. Since they won twice as many games as they lost, they must have won 2x games.
Now, we know that the total number of games played is 36. So, the equation to solve this problem is:
x + 2x = 36
By adding the x's together, we get 3x = 36. Then, by dividing both sides by 3, we find that x = 12.
So, if they lost 12 games, they must have won twice as many, which is 24 games. Therefore, the bulldogs won 24 games.
Let's assume the number of games the bulldogs lost is "x".
According to the given information, they won twice as many games as they lost.
Therefore, the number of games they won can be determined by 2 * x.
Since they played a total of 36 games, the equation can be formed as:
2 * x + x = 36
Simplifying the equation, we have:
3 * x = 36
Dividing both sides of the equation by 3, we find:
x = 12
So, the bulldogs lost 12 games.
To find the number of games they won, we multiply 12 by 2:
2 * 12 = 24
Therefore, the bulldogs won 24 games.
To find the number of games the bulldogs won, we need to set up a system of equations based on the given information.
Let W represent the number of games the bulldogs won, and L represent the number of games they lost.
We are given that the bulldogs won twice as many games as they lost, which can be represented as:
W = 2L ...(Equation 1)
We are also given that they played a total of 36 games, so the total number of games won and lost should add up to 36:
W + L = 36 ...(Equation 2)
Now, we can solve this system of equations to find the value of W.
Substituting Equation 1 into Equation 2, we get:
2L + L = 36
Combining like terms, we have:
3L = 36
Dividing both sides of the equation by 3, we find:
L = 12
Now, substituting this value back into Equation 1, we can determine the number of games won:
W = 2(12) = 24
Therefore, the bulldogs won 24 games.