Difference between revisions of "2010 AMC 8 Problems/Problem 5"
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Convert everything to the same unit. Since the answer is in centimeters, change meters to centimeters by moving the decimal place two places to the right. | Convert everything to the same unit. Since the answer is in centimeters, change meters to centimeters by moving the decimal place two places to the right. | ||
| − | The ceiling is 240 centimeters above the floor. The combined height of Alice and the light bulb when she reaches for it is 10+150+46=206 centimeters. That means the stool's height needs to be 240-206=34 | + | The ceiling is <math>240</math> centimeters above the floor. The combined height of Alice and the light bulb when she reaches for it is <math>10+150+46=206</math> centimeters. That means the stool's height needs to be <math>240-206=\boxed{\textbf{(B)}\ 34}</math> |
==See Also== | ==See Also== | ||
{{AMC8 box|year=2010|num-b=4|num-a=6}} | {{AMC8 box|year=2010|num-b=4|num-a=6}} | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Revision as of 14:24, 15 August 2021
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?
Solution
Convert everything to the same unit. Since the answer is in centimeters, change meters to centimeters by moving the decimal place two places to the right.
The ceiling is 
centimeters above the floor. The combined height of Alice and the light bulb when she reaches for it is 
centimeters. That means the stool's height needs to be 
See Also
| 2010 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
