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

Answer:

Fraction of the shop speakers are blue t-shirts that are on sale and are size medium = $\frac{1}{8}$

Step-by-step 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.

$\texttt{Number of blue t shirts = }\frac{3}{5}T$

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

$\texttt{Number of blue t shirts that are on sale = }\frac{5}{8}\times \frac{3}{5}T=\frac{3}{8}T$

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

$\texttt{Number of blue t shirts that are on sale with size medium = }\frac{1}{3}\times \frac{3}{8}T\\\\\texttt{Number of blue t shirts that are on sale with size medium = }=\frac{1}{8}T$

Fraction of the shop speakers are blue t-shirts that are on sale and are size medium = $\frac{1}{8}$