Question

three fifths of the t-shirts in a T-shirt shop are blue 5/8 of those t-shirts are on sale 1/3 of the blue t-shirts that are on sale or size medium what fraction of the shop speakers are blue t-shirts that are on sale and are size medium explain

Answer 1

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Answer 2

Fraction of the shop speakers are blue t-shirts that are on sale and are size medium =
`(1)/(8)`

Explanation:

Let T be the number of T shirts in the shop.

Three fifths of the t-shirts in a T-shirt shop are blue.

`\texttt{Number of blue t shirts = }(3)/(5)T`

5/8 of those blue t shirts are on sale,

`\texttt{Number of blue t shirts that are on sale = }(5)/(8)* (3)/(5)T=(3)/(8)T`

1/3 of the blue t-shirts that are on sale are size medium,

`\texttt{Number of blue t shirts that are on sale with size medium = }(1)/(3)* (3)/(8)T\\\\\texttt{Number of blue t shirts that are on sale with size medium = }=(1)/(8)T`

Fraction of the shop speakers are blue t-shirts that are on sale and are size medium =
`(1)/(8)`