T-shirts are sold at a local store. They went to stock meduim and large sizes in a ratio of 2 to 3. If they order 6 large T-shirts, how many meduim T-shirts should they order? Apply the relationship between the ratios to solve this problem.

90 meduim T-shirts
10 meduim T-shirts
40 meduim T-shirts
22 meduim T-shirts

To solve this problem, let's first define the ratio of medium to large T-shirts, which is 2:3. This means that for every 2 medium T-shirts, there are 3 large T-shirts.

Given that they are ordering 6 large T-shirts, we can use this ratio to calculate the number of medium T-shirts they should order.

First, let's find the equivalent ratio for the number of large T-shirts they are ordering:

3 large T-shirts / (2 medium T-shirts) = 6 large T-shirts / X medium T-shirts

Cross-multiplying, we get:

3X = 6 * 2

3X = 12

Now, divide both sides of the equation by 3 to solve for X:

X = 12 / 3

X = 4

Therefore, they should order 4 medium T-shirts.

To solve this problem, we need to use the relationship between the ratios of medium and large T-shirts. The given ratio is 2 to 3, which means for every 2 medium T-shirts, there are 3 large T-shirts.

Since we know that they ordered 6 large T-shirts, we can use proportions to find out how many medium T-shirts they should order.

Let's set up a proportion:

2 medium / 3 large = x medium / 6 large

Cross-multiplying, we get:

(2 medium) * (6 large) = (3 large) * (x medium)

12 medium = 3x large

To find the value of x, we divide both sides of the equation by 3:

12 medium / 3 = 3x large / 3

4 medium = x large

Therefore, they should order 4 medium T-shirts.

So the correct answer is option: 10 medium T-shirts.

To solve this problem, we can set up a proportion using the ratio of medium to large shirts in the store.

The ratio is given as 2 to 3, or 2/3.
We know that there are already 6 large shirts in stock, which is the "3" part of the ratio.
We need to find the "2" part of the ratio, which represents the number of medium shirts to order.

Setting up the proportion:
2/3 = x/6

To cross multiply:
3x = 2 * 6
3x = 12

Dividing both sides by 3:
x = 4

Therefore, they should order 4 medium T-shirts.