Problem 17 · 2011 Math Kangaroo
Hard
Logic & Word Problems
casework
In a tournament FC Barcelona scored three goals and conceded one goal. The team won once, lost once and drew once in the tournament. 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 team conceded only one goal in total — where could that single goal have gone?
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Hint 2 of 2
Pin down the loss and the draw first, then the won game score is forced.
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Approach: use the totals: 3 goals for, 1 against, over one win, one draw, one loss
- Only 1 goal was conceded in all three games, so the loss was 0:1 and the draw must be 0:0.
- That leaves all 3 scored goals for the win, with 0 conceded there.
- So the won game finished 3:0.
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