Problem 19 · 2020 Math Kangaroo
Stretch
Logic & Word Problems
caseworkcareful-counting
Tania bought 14 chocolates, 8 of them round and the rest square. Half were white chocolates and half were dark chocolates. Among the square chocolates, only two are not white. How many dark round chocolates did Tania buy?
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Answer: D — 5
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Hint 1 of 2
Split the 14 into round/square and into white/dark and fill a little table.
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Hint 2 of 2
Use that only two square chocolates are dark to find the round ones.
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Approach: organise with a 2-by-2 table
- There are 8 round and 6 square chocolates; 7 are white and 7 are dark.
- Among the 6 square ones only 2 are dark, so 4 squares are white.
- That leaves 7 minus 4 = 3 white round chocolates, so round dark = 8 minus 3 = 5.
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