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? Express your answer as a fraction.
So Joe has 12 ounces of coffee. And JoAnn has 12 ounces of coffee. Joe drank 2 ounces of his coffee. Which means he has 12 - 2 = 10 ounces of coffee. Joe added 2 ounces of cream. So he has 10 + 2 = 12 ounces of coffee and cream. JoAnn added 2 ounces of cream. So she has 12 + 2 = 14 ounces of coffee and cream. JoAnn stirred the coffee well and drank 2 ounces. That means she drank 2 / 14 = 1/7 of the liquid. So she has 14 - 2 = 12 ounces of coffee and cream. We are asked for the ratio of the amount of cream in Joe's coffee to that in JoAnn's coffee. So the ratio is $\frac{2}{\frac{12}{7}}=\frac{7}{6}$. So the ratio of the amount of cream in Joe's coffee to that in JoAnn's coffee is $\frac{7}{6}$.

