Difference between revisions of "2010 AMC 8 Problems/Problem 5"
(Created page with "==Problem== Alice needs to replace a light bulb located <math>10</math> centimeters below the ceiling in her kitchen. The ceiling is <math>2.4</math> meters above the floor. Alic...") |
(→See Also) |
||
| (5 intermediate revisions by 3 users not shown) | |||
| Line 8: | Line 8: | ||
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> | ||
| + | |||
| + | ==Video by MathTalks== | ||
| + | |||
| + | https://youtu.be/EEbksvfujhk | ||
| + | |||
| + | |||
| + | |||
| + | |||
| + | |||
| + | |||
==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}} | ||
Latest revision as of 19:01, 5 February 2023
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 
Video by MathTalks
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. 
