Question

Tiana works at her family's restaurant on the weekends, Her stepfather left the table below on the whiteboard to help her make the oatmeal. Unfortunately, a few spots were accidentally erased. Complete the table for Tiana below.

Answer 1

To find the amount of oatmeal in ounces for 1 ounce of milk, we use the following proportion

`(4)/(1)=(3(1)/(5))/(x)`

Now, we solve for x.

`\begin{gathered} 4x=3(1)/(5) \\ 4x=(3\cdot5+1)/(5) \\ 4x=(16)/(5) \\ x=(16)/(4\cdot5) \\ x=(4)/(5) \end{gathered}`

So, for 1 ounce of milk, the amount of oatmeal is 4/5 ounces.

Now, let's find the amount of milk for 5 1/10 ounces of oatmeal.

`(1)/(x)=((4)/(5))/(5(1)/(10))`

Now, we solve for x

`\begin{gathered} (1)/(x)=((4)/(5))/((5\cdot10+1)/(10)) \\ (1)/(x)=((4)/(5))/((51)/(10)) \\ (1)/(x)=(4\cdot10)/(5\cdot51) \\ (1)/(x)=(40)/(255) \\ x=(255)/(40) \\ x=6(3)/(8) \end{gathered}`

Hence, there are needed 6 3/8 ounces of milk to get 5 1/10 ounces of oatmilk.