The football team has played 11 games. They lost 2 fewer than they won. They lost 4 times more than they tied. How many games did they lose,win and tie?

Win:6

Lose:4
Tie:1

To solve this problem, we can use variables to represent the number of games won, lost, and tied. Let's say the number of games won is W, the number of games lost is L, and the number of games tied is T.

According to the information given, we have:

1. The total number of games played is 11. So, W + L + T = 11.

2. The team lost 2 fewer than they won. So, L = W - 2.

3. The team lost 4 times more than they tied. So, L = 4T.

Now, let's substitute the values from equations 2 and 3 into equation 1 to solve for the variables:

(W - 2) + W + (4T) = 11.

Combining like terms, we get:

2W + 4T - 2 = 11.

Rearranging the equation, we have:

2W + 4T = 13.

Now, let's consider the possible values for T. Since the team cannot play a fraction of a game, T can only be a whole number. We can start by testing T = 1, T = 2, and so on, until we find a solution that satisfies all the equations.

If we substitute T = 1 into the equation, we get:

2W + 4(1) = 13,
2W + 4 = 13,
2W = 9,
W = 4.5.

Since W cannot be a fraction, T = 1 does not work.

If we substitute T = 2 into the equation, we get:

2W + 4(2) = 13,
2W + 8 = 13,
2W = 5,
W = 2.5.

Again, W cannot be a fraction, so T = 2 does not work.

Testing T = 3, we get:

2W + 4(3) = 13,
2W + 12 = 13,
2W = 1,
W = 0.5.

Once again, W cannot be a fraction. Therefore, T = 3 does not work.

Testing T = 4, we get:

2W + 4(4) = 13,
2W + 16 = 13,
2W = -3.

Now we found a solution where W is a whole number. When T = 4, W = -1.5, which is not a valid solution.

Testing T = 5 gives us:

2W + 4(5) = 13,
2W + 20 = 13,
2W = -7.

Again, W is not a whole number, so T = 5 does not work.

Finally, testing T = 6, we get:

2W + 4(6) = 13,
2W + 24 = 13,
2W = -11.

Once again, W is not a whole number, so T = 6 does not work.

After testing all possible values of T, we can conclude that there are no whole number solutions for this problem. Therefore, we cannot determine the exact number of games won, lost, and tied based on the given information.