Problem 12 · 2023 Math Kangaroo
Medium
Logic & Word Problems
work-backward
North of street A there are 7 houses. East of street B there are 8 houses. South of street A there are 5 houses. How many houses are there west of street B?
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Answer: A — 4
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Hint 1 of 2
Every house is either north or south of street A, so those two counts give the grand total.
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Hint 2 of 2
The grand total also splits into east and west of street B.
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Approach: total from the A split, then subtract the east count
- North of A there are 7 houses and south of A there are 5, so there are 7 + 5 = 12 houses in all.
- All 12 are also split by street B into east and west.
- With 8 east of B, the west side has 12 − 8 = 4 houses.
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