Problem 8 · 2010 Math Kangaroo
Easy
Arithmetic & Operations
work-backward
Eva is a centipede with exactly 100 feet. Yesterday she bought 16 pairs of shoes and put them on right away. Even so, she still had 14 feet with no shoes. On how many feet was she already wearing shoes before she went shopping yesterday?
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Answer: C — 54
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Hint 1 of 2
Each pair of shoes covers 2 feet; first find how many feet have shoes now.
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Hint 2 of 2
Subtract the feet she put new shoes on today from the total now wearing shoes.
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Approach: count shod feet, then remove today's new shoes
- She has 100 feet and 14 are bare, so 100 − 14 = 86 feet wear shoes now.
- Today she put on 16 pairs = 32 shoes, covering 32 feet.
- So before shopping she already wore shoes on 86 − 32 = 54 feet.
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