Difference between revisions of "2018 AMC 10B Problems/Problem 1"

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<math>\textbf{(A) } 90 \qquad \textbf{(B) } 100 \qquad \textbf{(C) } 180 \qquad \textbf{(D) } 200 \qquad \textbf{(E) } 360</math>
 
<math>\textbf{(A) } 90 \qquad \textbf{(B) } 100 \qquad \textbf{(C) } 180 \qquad \textbf{(D) } 200 \qquad \textbf{(E) } 360</math>
  
== Solution1 ==
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== Solution 1 ==
  
Since it is 2 X 2 we divide both sides by 2 and we get 10<math>\cdot</math>9 = 90 = <math>\boxed{A}</math>
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The area of the pan is <math>20\cdot18</math> = <math>360</math>. Since the area of each piece is <math>4</math>, there are 360/40 = 90 pieces. Thus, the answer is A.

Revision as of 14:46, 16 February 2018

Kate bakes 20-inch by 18-inch pan of cornbread. The cornbread is cut into pieces that measure 2 inches by 2 inches. How many pieces of cornbread does the pan contain?

$\textbf{(A) } 90 \qquad \textbf{(B) } 100 \qquad \textbf{(C) } 180 \qquad \textbf{(D) } 200 \qquad \textbf{(E) } 360$

Solution 1

The area of the pan is $20\cdot18$ = $360$. Since the area of each piece is $4$, there are 360/40 = 90 pieces. Thus, the answer is A.