Problem 16 · 2011 Math Kangaroo
Hard
Logic & Word Problems
caseworksum-constraint
In a tournament FC Barcelona scored a total of three goals, and conceded one goal. In the tournament the team had won one game, lost one game and drawn one game. What was the score in the game that FC Barcelona won?
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Answer: B — 3:0
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Hint 1 of 2
The single goal they conceded must have come in the game they lost.
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Hint 2 of 2
That fixes the lost and drawn scores, leaving the goals for the win.
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Approach: place the one conceded goal, then balance the totals
- They conceded only 1 goal all tournament, and a loss needs at least one conceded, so the loss was 0:1.
- With no goals left to concede, the draw must be 0:0.
- All 3 scored goals fall in the win, so the won game was 3:0.
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