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Coffee and Cream

Source: AMC 12 2006B, Problem 11

February 17, 2006
ratioAMC

Problem Statement

Joe and JoAnn each bought 12 ounces of coffee in a 16-ounce cup. Joe drank 2 ounces of his coffee and then added 2 ounces of cream. JoAnn added 2 ounces of cream, stirred the coffee well, and then drank 2 ounces. What is the resulting ratio of the amount of cream in Joe's coffee to that in JoAnn's coffee? <spanclass=′latex−bold′>(A)</span>67<spanclass=′latex−bold′>(B)</span>1314<spanclass=′latex−bold′>(C)</span>1<spanclass=′latex−bold′>(D)</span>1413<spanclass=′latex−bold′>(E)</span>76 <span class='latex-bold'>(A) </span> \frac 67 \qquad <span class='latex-bold'>(B) </span> \frac {13}{14} \qquad <span class='latex-bold'>(C) </span> 1 \qquad <span class='latex-bold'>(D) </span> \frac {14}{13} \qquad <span class='latex-bold'>(E) </span> \frac 76
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