Question

Two​-thirds of the​ T-shirts in a​ T-shirt shop are blue. Three​-fifths of those​ T-shirts are on sale. ​One-half of the blue​ T-shirts that are on sale are size medium. What fraction of the​ shop's T-shirts are blue​ T-shirts that are on sale and are size​ medium? Explain.

Answer 1

Let, total number of T-shirts are x.

Number of blue T-shirts = (2/3)x = 2x/3 .

Number of blue shirts on sale = (3/5)(2x/3) = 2x/5 .

Number of medium sized blue shirts on sale = (1/5)(2x/5) = 2x/25 .

Fraction of the​ shop's T-shirts are blue​ T-shirts that are on sale and are size​ medium = $\dfrac{2x/25}{x}$= 2/25 . ( Number of medium sized blue shirts on sale divided by total number of T-shirts )

Hence, this is the required solution.