Answer:
The number of calories in 5.5 cups are <u>495</u>.
Step-by-step explanation:
Given:
You buy milk that contains 180 calories per 2 cups.
Now, to find the number of calories in 5.5 cups.
Let the number of calories in 5.5 cups be ![x.](https://tex.z-dn.net/?f=x.)
As, in 2 cups there are 180 calories.
2 cups is equivalent to 180 calories.
Thus, the ratio would be ![2:180.](https://tex.z-dn.net/?f=2%3A180.)
So, in 5.5 cups there are
calories.
5.5 cups is equivalent to
calories.
Thus, the ratio would be ![5.5:x.](https://tex.z-dn.net/?f=5.5%3Ax.)
Now, we set proportion to get the number of calories in 5.5 cups:
![2:180::5.5:x](https://tex.z-dn.net/?f=2%3A180%3A%3A5.5%3Ax)
![\frac{2}{180} =\frac{5.5}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B180%7D%20%3D%5Cfrac%7B5.5%7D%7Bx%7D)
<em>By cross multiplying we get:</em>
![2x=990](https://tex.z-dn.net/?f=2x%3D990)
<em>Dividing both sides by 2 we get:</em>
.
Therefore, the number of calories in 5.5 cups are 495.