Question

three fifths of thr tshirts in a tshirt shop are on sale. five eighths of those tshirts are on sale. one third of those blue tshirts that are on sale are size medium. what fraction of the shops tshirts are blue tshirts that are on sale and are size medium? explain

Answer 1

3/5 of the T-shirts of the shop are on sale

5/8 of those on sale are blue

1/3 of the blue shirts on sale are medium size.

First calculate how many of the shirts on sale are blue:

`(5)/(8)(/3)/(5)=(5)/(8)\cdot(5)/(3)=(25)/(24)`

25/24 of the shirts on sale are blue

Then divide that number by three to know how many are medium size:

`(25)/(24)/3=(25)/(72)`

25/72 are blue and medium size