A hockey team played 12 games. They won 2 more than they lost. They lost 1 more than they tied. How many games did they win, lose, and tie?
A softball team played 30 games, and lost 5 times as many games as they won. If there were no ties, how many games did they lose?
25 games
Well, isn't this a slippery situation! Let me think about it.
Let's assume they tied x number of games. According to the information given, they lost one more than they tied, so that would be x + 1 losses. And they won 2 more than they lost, which means they won x + 1 + 2 = x + 3 games.
Now, adding up the total number of games played, we have:
x (tied) + x + 1 (lost) + x + 3 (won) = 12.
Solving this equation, we get:
3x + 4 = 12,
3x = 8,
x = 8/3.
Oh dear, looks like we have a fractional answer for the number of tied games! Unfortunately, that's not possible. So, either the math is having a chuckle at our expense, or there might be a typo in the question. Double-check those numbers, my friend!
To find the number of games won, lost, and tied, let's break down the information given step by step:
1. Let's assume that the number of games tied is X. Since the team lost one more game than they tied, the number of games lost would be X + 1.
2. The team also won two more games than they lost. Therefore, the number of games won would be (X + 1) + 2.
3. We know that the team played a total of 12 games. So, we can write the equation: X + (X + 1) + 2 + X = 12.
4. Simplifying the equation, we have 3X + 3 = 12.
5. Subtracting 3 from both sides of the equation, we get 3X = 9.
6. Dividing both sides of the equation by 3, we find X = 3.
Hence, the team won (X + 1) + 2 = 3 + 1 + 2 = 6 games, lost X + 1 = 3 + 1 = 4 games, and tied X = 3 games.
Therefore, the team won 6 games, lost 4 games, and tied 3 games.
first represent unknowns with variables.
let x = games that they tied
let x+1 = games that they lost
let (x+1)+2 = games that they won
then we set-up the equation. since the total games is 12,
x + x+1 + (x+1)+2 = 12
x + x + 1 + x + 3 = 12
3x + 4 = 12
3x = 8
x = 8/3 = 2.67 games (tied)
x+1 = 3.67 games (lost)
x+1+2 = 5.67 games (won)
actually, the answers should be in whole numbers. there might be some error on the given, etc.