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Units, units, units

Source: AHSME 1986 problem 14

October 1, 2011
AMC

Problem Statement

Suppose hops, skips and jumps are specific units of length. If bb hops equals cc skips, dd jumps equals ee hops, and ffjumps equals gg meters, then one meter equals how many skips?
<spanclass=′latex−bold′>(A)</span> bdgcef<spanclass=′latex−bold′>(B)</span> cdfbeg<spanclass=′latex−bold′>(C)</span> cdgbef<spanclass=′latex−bold′>(D)</span> cefbdg<spanclass=′latex−bold′>(E)</span> cegbdf <span class='latex-bold'>(A)</span>\ \frac{bdg}{cef}\qquad<span class='latex-bold'>(B)</span>\ \frac{cdf}{beg}\qquad<span class='latex-bold'>(C)</span>\ \frac{cdg}{bef}\qquad<span class='latex-bold'>(D)</span>\ \frac{cef}{bdg}\qquad<span class='latex-bold'>(E)</span>\ \frac{ceg}{bdf}
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