SOLUTION: Ana is 5 times as old as Beth and 2 2/3 times as old as Cathy. What fraction of Cathy's age is Beth's?

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Question 854202: Ana is 5 times as old as Beth and 2 2/3 times as old as Cathy. What fraction of Cathy's age is Beth's?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+a+=+5b+
+a+=+%288%2F3%29%2Ac+
Find +b%2Fc+
+b+=+a%2F5+
+c+=+%283%2F8%29%2Aa+
---------------------
+b%2Fc+=+%28+a%2F5+%29+%2F+%28+%283%2F8%29%2Aa+%29+
Multiply top and bottom by +40%2Fa+
+b%2Fc+=+8+%2F+15+
Beth is 8/15 Cathy's age
check:
+a+=+5b+
+a+=+5%2A%288%2F15%29%2Ac+
+a+=+%288%2F3%29%2Ac+
OK