Difference between revisions of "2010 AMC 8 Problems/Problem 5"

(Solution)
m (Undo revision 160326 by Raina0708 (talk) I PM'ed Raina0708 for suggesting NOT to erase LaTeX. So, I will restore the LaTeX code. LaTeX makes solutions more professional.)
(Tag: Undo)
Line 11: Line 11:
 
==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}}

Revision as of 14:22, 15 August 2021

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=34

See Also

2010 AMC 8 (ProblemsAnswer KeyResources)
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. AMC logo.png