SOLUTION: In a certain department store, which has four sizes of a specific shirt, there are 1/3 as many small shirts as medium shirts, and 1/2 as many large shirts as small shirts. If there

Question 763537: In a certain department store, which has four sizes of a specific shirt, there are 1/3 as many small shirts as medium shirts, and 1/2 as many large shirts as small shirts. If there are as many x-large shirts as large shirts, what percent of the shirts in the store are medium?

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Let's say that there are % medium shirts.
Since there are 1/3 as many small shirts as medium shirts,
there are % small shirts.
Since there are 1/2 as many large shirts as small shirts,
there are % large shirts.
Since there are as many x-large shirts as large shirts,
there are % x-large shirts.
The total is, off course %, so

Taking out as a common factor, we get

Multiplying and adding those fractions, we get
--> -->
Multiplying both sides of the equation times , we get the solution.
--> --> --> .
So 60% of the shirts are medium, 20% are small, 10% are large, and the remaining 10% are extra large.
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