Difference between revisions of "2013 AMC 10B Problems/Problem 2"

Latest revision as of 11:06, 7 April 2013

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-==Problem==
+#REDIRECT [[2013 AMC 12B Problems/Problem 2]]
-Mr. Green  measures his rectangular garden by walking two of the sides and finding that it is <math>15</math> steps by <math>20</math> steps.  Each of Mr. Green's steps is <math>2</math> 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?
-<math> \textbf{(A)}\ 600 \qquad\textbf{(B)}\ 800  \qquad\textbf{(C)}\ 1000 \qquad\textbf{(D)}\ 1200 \qquad\textbf{(E)}\ 1400 </math>
-==Solution==
-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 * \frac{1}{2} =  \boxed{\textbf{(A) }600}</math>