Problem 12 · 2014 Math Kangaroo
Hard
Arithmetic & Operations
divisiontotal-then-divide
The rabbit family Hoppel eat cabbages and carrots. Each day they eat either 10 carrots or 2 cabbages. In the whole of last week they ate 6 cabbages. How many carrots did the rabbit family eat last week?
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Answer: D — 40
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Hint 1 of 3
A week has 7 days, and each day is either a carrot day or a cabbage day.
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Hint 2 of 3
On a cabbage day they eat 2 cabbages, so group the 6 cabbages into 2s to count the cabbage days.
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Hint 3 of 3
The days left over in the week are carrot days, with 10 carrots on each.
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Approach: split the 7 days into cabbage days and carrot days, then count the carrots
- There are 7 days in the week, and each day is a cabbage day or a carrot day.
- Cabbage days have 2 cabbages each, and 6 cabbages make 3 groups of 2, so 3 days were cabbage days.
- That leaves 7 − 3 = 4 carrot days.
- Each carrot day has 10 carrots, so 4 days give 4 × 10 = 40 carrots.
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