Problem:
Alice needs to replace a light bulb located centimeters below the ceiling in her kitchen. The ceiling is meters above the floor. Alice is meters tall and can reach centimeters above the top of her head. Standing on a stool, she can just reach the light bulb. What is the height of the stool, in centimeters?
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Solution:
The ceiling is meters centimeters above Alice's head. She can reach centimeters above the top of her head, and the light bulb is centimeters below the ceiling, so the stool is centimeters high.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions