<p>Team A, Team B, Team C, and Team D decided to play a small football tournament against each other; each team would play once against each other team.</p>
<p>After all the games were played, Team A won all three of their games, scoring six goals total while only giving up one goal.</p>
<p>Team B won a single game, tied a game, and lost a game. They only scored two goals total, while giving up four goals.</p>
<p>Team C won a single game and lost two games. They only scored two goals total, while giving up two goals.</p>
<p>Team D did not win any games; they tied once and lost twice. They only scored two goals, and gave up five goals.</p>
<p>If you take the number of goals Team A scored against the Team B, and you multiply that by the number of goals that Team C scored against Team D, and you multiply all that by the total number of goals scored in the game between the Team A and Team D, and you add to that the number of goals Team C scored against the Team B, what number will you get?</p>
<p>My analysis so far:
A won all games
B won against C, lost to A, and tied with D
C won against D, but lost to A and B
D lost to A and C, but tied with B</p>
<p>How did you get it?</p>
<p>Well, I came to the same conclusion you did.
I drew a table containing info on each team such as goals scored, taken, games won, games lost. Then I sketched all the 6 games and figured the goal numbers from the data in the problem. </p>
<p>A vs D (2-0)
A vs C (1-0)
A vs B (3-0)
B vs C (1-0)
C vs D (2-1)
B vs D (1-1)</p>
<p>I don't know the answer yet, but I will post it when it is out Wednesday.</p>
<p>^^Team A gave up one goal according to the data provided, but your scores have Team A shutting everyone out/not allowing any goals. Team C lost two games and gave up only two goals in total according to the data provided, so they must have lost both of their games by a 1-x score. Therefore they couldn't have won 2-1, which has them giving up 3 goals in total. Tsk, tsk. Back to the drawing board, eh?</p>
<p>A vs. B 3-0
A vs. C 1-0
A vs. D 2-1
B vs. C 1-0
B vs. D 1-1
C vs. D 2-0</p>
<p>Any flaws?</p>
<p>If it's correct, then it's 18, I believe.</p>
<p>The answer is actually 18. i am impressed</p>