SOLUTION: If b = 83 1/3% of c, and a = 60% of b, what percent is a of c?

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Question 625901: If b = 83 1/3% of c, and a = 60% of b, what percent is a of c?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
First, I want to find 83 1/3 % as a fraction
I'll say +.8333+=+1%2Fk+
+1%2Fk+=+1%2F1.2+
Multiply top and bottom by +5+
+1%2F1.2+=+5%2F6+
So, 83 1/3 % = 5/6
Then,++b%2Fc+=+5%2F6+
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And 60% =++6%2F10+
+6%2F10+=+3%2F5+, so
+a%2Fb+=+3%2F5+
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+b%2Fc+=+5%2F6+
+b+=+%285%2F6%29%2Ac+
and
+a%2Fb+=+3%2F5+
+a+=+%283%2F5%29%2Ab+
+a+=+%283%2F5%29%2A%285%2F6%29%2Ac+
+a+=+%281%2F2%29%2Ac+
+a%2Fc+=+.5%2F1+
Multiply top and bottom of the right side by +100+
+a%2Fc+=+50%2F100+
+a+=+%28+50%2F100%29%2Ac+
+50%2F100+ = 50%
a is 50% of c