MathDB
1993 AMC 12 #9 - Population and Wealth in Two Countries

Source:

January 2, 2012
ratioAMC

Problem Statement

Country A\mathcal{A} has c%c\% of the world's population and owns d%d\% of the world's wealth. Country B\mathcal{B} has e%e\% of the world's population and f%f\% of its wealth. Assume that the citizens of A\mathcal{A} share the wealth of A\mathcal{A} equally, and assume that those of B\mathcal{B} share the wealth of B\mathcal{B} equally. Find the ratio of the wealth of a citizen of A\mathcal{A} to the wealth of a citizen of B\mathcal{B}.
<spanclass=latexbold>(A)</span> cdef<spanclass=latexbold>(B)</span> cedf<spanclass=latexbold>(C)</span> cfde<spanclass=latexbold>(D)</span> decf<spanclass=latexbold>(E)</span> dfce <span class='latex-bold'>(A)</span>\ \frac{cd}{ef} \qquad<span class='latex-bold'>(B)</span>\ \frac{ce}{df} \qquad<span class='latex-bold'>(C)</span>\ \frac{cf}{de} \qquad<span class='latex-bold'>(D)</span>\ \frac{de}{cf} \qquad<span class='latex-bold'>(E)</span>\ \frac{df}{ce}