Problem 11 · 2023 Math Kangaroo
Stretch
Logic & Word Problems
careful-countingoff-by-one
Emma came third in a dance competition for girls. 3 dancers came between her and the last girl. How many dancers took part in the competition?
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Answer: D — 7
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Hint 1 of 3
Draw a line of dots, one for each dancer in the order they finished.
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Hint 2 of 3
Emma is 3rd, so put 2 dots before her, then her dot, then the dots for the girls between.
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Hint 3 of 3
Don't forget the two dancers ahead of Emma and the last girl at the very end.
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Approach: draw the line-up in order and count the dancers
- Emma came 3rd, so 2 dancers are ahead of her: that is dancers 1, 2, and Emma is 3.
- After Emma come the 3 dancers between her and the last girl: dancers 4, 5, 6.
- Then the last girl is dancer 7, so 7 dancers took part, option D.
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