Difference between revisions of "2012 AMC 10A Problems/Problem 3"
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− | + | {{duplicate|[[2012 AMC 12A Problems|2012 AMC 12A #1]] and [[2012 AMC 10A Problems|2012 AMC 10A #3]]}} | |
− | A bug crawls along a number line, starting at -2. It crawls to -6, then turns around and crawls to 5. How many units does the bug crawl altogether? | + | == Problem == |
+ | |||
+ | A bug crawls along a number line, starting at <math>-2</math>. It crawls to <math>-6</math>, then turns around and crawls to <math>5</math>. How many units does the bug crawl altogether? | ||
<math> \textbf{(A)}\ 9\qquad\textbf{(B)}\ 11\qquad\textbf{(C)}\ 13\qquad\textbf{(D)}\ 14\qquad\textbf{(E)}\ 15 </math> | <math> \textbf{(A)}\ 9\qquad\textbf{(B)}\ 11\qquad\textbf{(C)}\ 13\qquad\textbf{(D)}\ 14\qquad\textbf{(E)}\ 15 </math> | ||
+ | |||
+ | == Solution == | ||
+ | |||
+ | <asy> | ||
+ | draw((-2,1)--(-6,1),red+dashed,EndArrow); | ||
+ | draw((-6,2)--(5,2),blue+dashed,EndArrow); | ||
+ | dot((-2,0)); | ||
+ | dot((-6,0)); | ||
+ | dot((5,0)); | ||
+ | label("$-2$",(-2,0),dir(270)); | ||
+ | label("$-6$",(-6,0),dir(270)); | ||
+ | label("$5$",(5,0),dir(270)); | ||
+ | label("$4$",(-4,0.9),dir(270)); | ||
+ | label("$11$",(-1.5,2.5),dir(90)); | ||
+ | </asy> | ||
+ | |||
+ | Crawling from <math>-2</math> to <math>-6</math> takes it a distance of <math>4</math> units. Crawling from <math>-6</math> to <math>5</math> takes it a distance of <math>11</math> units. Add <math>4</math> and <math>11</math> to get <math>\boxed{\textbf{(E)}\ 15}</math> | ||
+ | |||
+ | == See Also == | ||
+ | |||
+ | {{AMC10 box|year=2012|ab=A|num-b=2|num-a=4}} | ||
+ | {{AMC12 box|year=2012|ab=A|before=First Problem|num-a=2}} | ||
+ | {{MAA Notice}} |
Latest revision as of 09:32, 6 September 2014
- The following problem is from both the 2012 AMC 12A #1 and 2012 AMC 10A #3, so both problems redirect to this page.
Problem
A bug crawls along a number line, starting at . It crawls to , then turns around and crawls to . How many units does the bug crawl altogether?
Solution
Crawling from to takes it a distance of units. Crawling from to takes it a distance of units. Add and to get
See Also
2012 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
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 AMC 10 Problems and Solutions |
2012 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by First Problem |
Followed by Problem 2 |
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 AMC 12 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.