Difference between revisions of "2006 AMC 12B Problems/Problem 11"
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JoAnn had 14 ounces of liquid, and drank <math>\frac{1}{7}</math> of it. Therefore, she drank <math>\frac{1}{7}</math> of her cream, giving her <math>2*\frac{6}{7}</math>. | JoAnn had 14 ounces of liquid, and drank <math>\frac{1}{7}</math> of it. Therefore, she drank <math>\frac{1}{7}</math> of her cream, giving her <math>2*\frac{6}{7}</math>. | ||
| − | <math>\frac{2}{2*\frac{6}{7}}=\frac{7}{6} \Rightarrow \boxed{\text{(E) }}</math> | + | <math>\frac{2}{2*\frac{6}{7}}=\frac{7}{6} \Rightarrow \boxed{\text{(E)}}</math> |
== See also == | == See also == | ||
* [[2006 AMC 12B Problems/Problem 10 | Previous problem]] | * [[2006 AMC 12B Problems/Problem 10 | Previous problem]] | ||
* [[2006 AMC 12B Problems/Problem 12 | Next problem]] | * [[2006 AMC 12B Problems/Problem 12 | Next problem]] | ||
* [[2006 AMC 12B Problems]] | * [[2006 AMC 12B Problems]] | ||
Revision as of 13:38, 13 November 2007
Problem
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?
Solution
Joe has 2 ounces of cream, as stated in the problem.
JoAnn had 14 ounces of liquid, and drank 
of it. Therefore, she drank of her cream, giving her 
.
