Difference between revisions of "2013 AMC 8 Problems/Problem 22"
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Toothpicks are used to make a grid that is 60 toothpicks long and 32 toothpicks wide. How many toothpicks are used altogether? | Toothpicks are used to make a grid that is 60 toothpicks long and 32 toothpicks wide. How many toothpicks are used altogether? | ||
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picture corner; | picture corner; | ||
draw(corner,(5,0)--(35,0)); | draw(corner,(5,0)--(35,0)); | ||
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draw((55,-100)--(85,-100),dotted+linewidth(2)); | draw((55,-100)--(85,-100),dotted+linewidth(2)); | ||
draw((50,-105)--(50,-135),dotted+linewidth(2)); | draw((50,-105)--(50,-135),dotted+linewidth(2)); | ||
− | draw((0,-105)--(0,-135),dotted+linewidth(2)); | + | draw((0,-105)--(0,-135),dotted+linewidth(2));</asy> |
<math>\textbf{(A)}\ 1920 \qquad \textbf{(B)}\ 1952 \qquad \textbf{(C)}\ 1980 \qquad \textbf{(D)}\ 2013 \qquad \textbf{(E)}\ 3952</math> | <math>\textbf{(A)}\ 1920 \qquad \textbf{(B)}\ 1952 \qquad \textbf{(C)}\ 1980 \qquad \textbf{(D)}\ 2013 \qquad \textbf{(E)}\ 3952</math> |
Revision as of 19:27, 27 November 2013
Problem
Toothpicks are used to make a grid that is 60 toothpicks long and 32 toothpicks wide. How many toothpicks are used altogether?
Solution
There are vertical columns with a length of toothpicks, and there are horizontal rows with a length of toothpicks. An effective way to verify this is to try a small case, i.e. a grid of toothpicks. Thus, our answer is .
See Also
2013 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 21 |
Followed by Problem 23 | |
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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