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Difference between revisions of "2010 AMC 8 Problems/Problem 5"
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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>
 
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>
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==Video by MathTalks==
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https://youtu.be/EEbksvfujhk
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==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}}

Latest revision as of 19:01, 5 February 2023

Problem

Alice needs to replace a light bulb located $10$ centimeters below the ceiling in her kitchen. The ceiling is $2.4$ meters above the floor. Alice is $1.5$ meters tall and can reach $46$ 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?

$\textbf{(A)}\ 32 \qquad\textbf{(B)}\ 34\qquad\textbf{(C)}\ 36\qquad\textbf{(D)}\ 38\qquad\textbf{(E)}\ 40$

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 $240$ 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 $240-206=\boxed{\textbf{(B)}\ 34}$

Video by MathTalks

https://youtu.be/EEbksvfujhk




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

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