Question

Five-sevenths of T-shirts in a T-shirt shop are blue. Seven-eighths of those T-shirts are on sale. One-fifth of the blue T-shirts that are on sale are size medium. What fraction of T-shirts that are blue, medium, and on sale is __.

PLEASE EXPLAIN IM SO CONFUSED :,,,,))))

Answer 1

One-Eighths of T-shirts

Explanation:

Let "x" be the total number of T-shirts on the shop. Five-sevenths of T-shirts in a T-shirt shop are blue. This means the blue shirts are:

Blue shirts = Five-sevenths of x=
`(5)/(7)x`

Seven-eighths of these blue T-shirts are on sale. So the T-shirts on sale are:

Blue T-shirts on sale = Seven-eighths of Blue shirts

Blue T-shirts on sale =
`(7)/(8) * (5)/(7)x = (5)/(8)x`

One-Fifth of these blue shirts that are on sale are sized medium. So, medium sized blue T-shirts on sale are:

Medium sized Blue T-shirts on Sale = One-Fifth of Blue T-shirts on sale

Medium sized Blue T-shirts on Sale =
`(1)/(5) * (5)/(8)x =(1)/(8)x`

This means, out of all the T-shirts, One-Eighth T-shirts are blue, medium, and on sale