Difference between revisions of "2012 AMC 8 Problems/Problem 2"
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| + | ==Problem== | ||
In the country of East Westmore, statisticians estimate there is a baby born every <math> 8 </math> hours and a death every day. To the nearest hundred, how many people are added to the population of East Westmore each year? | In the country of East Westmore, statisticians estimate there is a baby born every <math> 8 </math> hours and a death every day. To the nearest hundred, how many people are added to the population of East Westmore each year? | ||
<math> \textbf{(A)}\hspace{.05in}600\qquad\textbf{(B)}\hspace{.05in}700\qquad\textbf{(C)}\hspace{.05in}800\qquad\textbf{(D)}\hspace{.05in}900\qquad\textbf{(E)}\hspace{.05in}1000 </math> | <math> \textbf{(A)}\hspace{.05in}600\qquad\textbf{(B)}\hspace{.05in}700\qquad\textbf{(C)}\hspace{.05in}800\qquad\textbf{(D)}\hspace{.05in}900\qquad\textbf{(E)}\hspace{.05in}1000 </math> | ||
| + | |||
| + | ==Solution== | ||
| + | There are <math>24\text{ hours}\div8\text{ hours} = 3</math> births and one death everyday in East Westmore. Therefore, the population increases by <math>3</math> - <math>1</math> = <math>2</math> people everyday. Thus, there are <math>2 \times 365 = 730</math> people added to the population every year. Rounding, we find the answer is <math>\boxed{\textbf{(B)}\ 700}</math>. | ||
| + | |||
| + | ==Video Solution== | ||
| + | https://youtu.be/gpOF59bnzWw ~savannahsolver | ||
==See Also== | ==See Also== | ||
{{AMC8 box|year=2012|num-b=1|num-a=3}} | {{AMC8 box|year=2012|num-b=1|num-a=3}} | ||
| + | {{MAA Notice}} | ||
Latest revision as of 21:22, 29 June 2022
Contents
Problem
In the country of East Westmore, statisticians estimate there is a baby born every 
hours and a death every day. To the nearest hundred, how many people are added to the population of East Westmore each year?
Solution
There are 
births and one death everyday in East Westmore. Therefore, the population increases by 
- 
= 
people everyday. Thus, there are 
people added to the population every year. Rounding, we find the answer is 
.
Video Solution
https://youtu.be/gpOF59bnzWw ~savannahsolver
See Also
| 2012 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 1 |
Followed by Problem 3 | |
| 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. 
