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Banana + Orange Prices

Source: AMC 12 2008A Problem 3

February 17, 2008
AMC

Problem Statement

Suppose that 23 \frac{2}{3} of 10 10 bananas are worth as much as 8 8 oranges. How many oranges are worth as much is 12 \frac{1}{2} of 5 5 bananas? <spanclass=latexbold>(A)</span> 2<spanclass=latexbold>(B)</span> 52<spanclass=latexbold>(C)</span> 3<spanclass=latexbold>(D)</span> 72<spanclass=latexbold>(E)</span> 4 <span class='latex-bold'>(A)</span>\ 2 \qquad <span class='latex-bold'>(B)</span>\ \frac{5}{2} \qquad <span class='latex-bold'>(C)</span>\ 3 \qquad <span class='latex-bold'>(D)</span>\ \frac{7}{2} \qquad <span class='latex-bold'>(E)</span>\ 4