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 :,,,,))))

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Answer:

One-Eighths of T-shirts

Step-by-step 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= [tex]\frac{5}{7}x[/tex]

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 = [tex]\frac{7}{8} \times \frac{5}{7}x = \frac{5}{8}x[/tex]

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 = [tex]\frac{1}{5} \times \frac{5}{8}x =\frac{1}{8}x[/tex]

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