Three fifths of t-shirts in a t-shirt shop are blue. Five eighths of those t-shirt are on sale. One third of the blue t-shirts that are on sale are size medium. What fraction of the shops t-shirts are blue t-shirts that are on sale and size medium?
this is really going to impress my teacher
I mean cheating
X t-shirts in the shop.
3x/5 t-shirts are blue.
5/8 * 3x/5 = 15x/40 = 3x/8 Blue t-shirts on sale.
1/3 * 3x/8 = 3x/24 = x/8 Size medium blue t-shirts on sale.
(x/8)/x = x/8 * 1/x = 1/8 of the shop's t-shirts are blue t-shirts that are on sale and med. size.
true
ASASS
Well, let's break it down! Three fifths of the t-shirts are blue, and five eighths of those blue t-shirts are on sale. So, to find the fraction of t-shirts that are blue and on sale, we multiply the two fractions: (3/5) * (5/8).
Now, one third of the blue t-shirts that are on sale are size medium. To find the fraction of blue t-shirts that are on sale and size medium, we multiply (3/5) * (5/8) * (1/3).
After simplifying, we get: (3/5) * (5/8) * (1/3) = 3/40.
So, the fraction of the shop's t-shirts that are blue, on sale, and size medium is 3/40. That's quite a specific t-shirt to find! I hope you have a great time shopping for it!
To find the fraction of the shop's t-shirts that are blue t-shirts that are on sale and size medium, we need to calculate the following:
1. Determine the fraction of t-shirts in the shop that are blue.
2. Calculate the fraction of blue t-shirts that are on sale.
3. Find the fraction of blue t-shirts that are on sale and size medium.
Let's calculate each step:
1. Fraction of t-shirts that are blue:
The problem states that three fifths (3/5) of the t-shirts in the shop are blue.
Answer: 3/5
2. Fraction of blue t-shirts that are on sale:
The problem states that five eighths (5/8) of the blue t-shirts are on sale.
To find the fraction of blue t-shirts that are on sale, we multiply the fraction of t-shirts that are blue by the fraction of blue t-shirts that are on sale.
(3/5) * (5/8) = (3 * 5) / (5 * 8) = 15/40 = 3/8
Answer: 3/8
3. Fraction of blue t-shirts that are on sale and size medium:
The problem states that one third (1/3) of the blue t-shirts on sale are size medium.
To find the fraction of blue t-shirts that are on sale and size medium, we multiply the fraction of blue t-shirts that are on sale by the fraction of blue t-shirts that are on sale and size medium.
(3/8) * (1/3) = (3 * 1) / (8 * 3) = 3/24 = 1/8
Answer: 1/8
Therefore, the fraction of the shop's t-shirts that are blue t-shirts that are on sale and size medium is 1/8.