A T-shirt comes in different sizes. A large T-shirt is 27.5 in. wide and 29.5 in. long. If a small youth T-shirt is 15.5 in. wide, what is its length to the nearest inch if it is similar to the large t-shirt? Show your work or explain your process.

To find the length of the small youth T-shirt, we can set up a proportion using the width and length of the large T-shirt.

Let x be the length of the small youth T-shirt.

We can set up the proportion as follows:

27.5 in. (large shirt width) / 29.5 in. (large shirt length) = 15.5 in. (small shirt width) / x (small shirt length)

Solving for x:

27.5/29.5 = 15.5/x
27.5x = 29.5 * 15.5
27.5x = 458.25
x = 458.25 / 27.5
x = 16.65

Therefore, the length of the small youth T-shirt is approximately 17 inches.

rewrite that to were a 7th grader would write but still smartly written with all the equations you said

To find the length of the small youth T-shirt, you can use a proportion. A large T-shirt is 27.5 inches wide and 29.5 inches long. A small T-shirt is 15.5 inches wide. Let's figure out how long it is.

27.5 / 29.5 = 15.5 / x

Now, cross multiply to solve for x:

27.5x = 29.5 * 15.5
27.5x = 458.25
x = 458.25 / 27.5
x ≈ 16.65

So, the length of the small youth T-shirt is around 17 inches.