MathDB
xyz (AMC12 2000)

Source:

March 21, 2008

Problem Statement

If x x, y y, and z z are positive numbers satisfying x \plus{} 1/y \equal{} 4,  y \plus{} 1/z \equal{} 1, \text{and}  z \plus{} 1/x \equal{} 7/3, then xyz \equal{}
<spanclass=latexbold>(A)</span> 2/3<spanclass=latexbold>(B)</span> 1<spanclass=latexbold>(C)</span> 4/3<spanclass=latexbold>(D)</span> 2<spanclass=latexbold>(E)</span> 7/3 <span class='latex-bold'>(A)</span>\ 2/3 \qquad <span class='latex-bold'>(B)</span>\ 1 \qquad <span class='latex-bold'>(C)</span>\ 4/3 \qquad <span class='latex-bold'>(D)</span>\ 2 \qquad <span class='latex-bold'>(E)</span>\ 7/3