Problem 13 · 2018 Math Kangaroo
Medium
Logic & Word Problems
divisionwork-backward
Felix the rabbit has 20 carrots. Every day he eats 2 of them. He has eaten the 12th carrot on a Wednesday. On which day of the week did he start eating the carrots?
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Answer: E — Friday
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Hint 1 of 2
Carrots come in pairs each day: day 1 is carrots 1 and 2, day 2 is carrots 3 and 4, and so on.
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Hint 2 of 2
Find which day number holds the 12th carrot, then hop backwards on the calendar to day 1.
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Approach: pair the carrots into days to reach day 6, then count back on the days of the week
- Two carrots each day means: day 1 = carrots 1,2; day 2 = 3,4; day 3 = 5,6; day 4 = 7,8; day 5 = 9,10; day 6 = 11,12.
- So the 12th carrot is eaten on day 6, which is the Wednesday given.
- Count back 5 days from Wednesday: Tue, Mon, Sun, Sat, Friday — that is day 1, answer E.
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