a basketball team played 68 games they won 22 more than they lost. how many games did they win? how many games did they lose?
68/2 = 34 games if they won 0 more than they lost. If they win 1, they can' t lose 1. so 34 +22/2 = 45 wins
34 - 22/2 = 23 losses.
A hockey team played 81 games in a season. They won 1 fewer game then three times the number of ties and lost 8 fewer games then they won. How many games did they win? Lose? Tie?
Let's work through the problem step by step:
Step 1: We know that the team played a total of 68 games.
Step 2: Let's assume the number of games they lost is "x".
Step 3: According to the information given, the team won 22 more games than they lost. So the number of games they won can be expressed as "x + 22".
Step 4: The total number of games played is the sum of the games they won and the games they lost. Therefore, we can write the equation as:
x + (x + 22) = 68
Simplifying the equation:
2x + 22 = 68
Step 5: To isolate the variable "x", we need to get rid of the constant term, 22. We can do this by subtracting 22 from both sides of the equation:
2x = 68 - 22
2x = 46
Step 6: Lastly, we can solve for "x" by dividing both sides of the equation by 2:
x = 46/2
x = 23
Therefore, the team lost 23 games.
Step 7: To find the number of games they won, we can substitute the value of "x" into the equation x + 22:
23 + 22 = 45
Therefore, the team won 45 games.
In summary, the team won 45 games and lost 23 games.
To find the number of games the basketball team won and lost, we can set up a system of equations.
Let's assume that the number of games the team won is 'W' and the number of games they lost is 'L'.
From the given information, we know that the team played a total of 68 games. So, the sum of the games won and the games lost is equal to 68:
W + L = 68 -- (Equation 1)
It is also given that the team won 22 more games than they lost. Mathematically, we can express this as:
W = L + 22 -- (Equation 2)
Now, we can solve this system of equations to find the values of 'W' and 'L'.
Substitute Equation 2 into Equation 1:
(L + 22) + L = 68
Combine like terms:
2L + 22 = 68
Subtract 22 from both sides:
2L = 68 - 22
2L = 46
Divide by 2:
L = 46 / 2
L = 23
By substituting the value of L back into Equation 2, we can find the value of W:
W = L + 22 = 23 + 22 = 45
Therefore, the basketball team won 45 games and lost 23 games.