Difference between revisions of "2013 AMC 12B Problems/Problem 2"
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<math>\textbf{(A)}\ 600 \qquad \textbf{(B)}\ 800 \qquad \textbf{(C)}\ 1000 \qquad \textbf{(D)}\ 1200 \qquad \textbf{(E)}\ 1400</math> | <math>\textbf{(A)}\ 600 \qquad \textbf{(B)}\ 800 \qquad \textbf{(C)}\ 1000 \qquad \textbf{(D)}\ 1200 \qquad \textbf{(E)}\ 1400</math> | ||
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+ | ==Solution== | ||
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+ | Since each step is <math>2</math> feet, his garden is <math>30</math> by <math>40</math> feet. Thus, the area of <math>30(40) = 1200</math> square feet. Since he is expecting <math>\frac{1}{2}</math> of a pound per square foot, the total amount of potatoes expected is <math>1200 \times \frac{1}{2} = \boxed{\textbf{(A) }600}</math> |
Revision as of 17:49, 22 February 2013
Problem
Mr. Green measures his rectangular garden by walking two of the sides and finds that it is steps by
steps. Each of Mr. Green's steps is
feet long. Mr. Green expects a half a pound of potatoes per square foot from his garden. How many pounds of potatoes does Mr. Green expect from his garden?
Solution
Since each step is feet, his garden is
by
feet. Thus, the area of
square feet. Since he is expecting
of a pound per square foot, the total amount of potatoes expected is