Question

Upper menu options: 1 3 7 8left menu options: 10 11 12 15

Answer 1

In order to find the amount of blue paint needed, we can write the following rule of three:

`\begin{gathered} \text{green}\to\text{blue} \\ 1\text{ batch}\to2(3)/(8)\text{ oz} \\ 5\text{ batches}\to x\text{ oz} \end{gathered}`

First, let's convert the mixed number into an improper fraction:

`2(3)/(8)=2+(3)/(8)=(16)/(8)+(3)/(8)=(19)/(8)`

From this rule of three, we can write the following equation and solve it for x:

`\begin{gathered} (1)/(5)=((19)/(8))/(x) \\ x\cdot1=5\cdot(19)/(8) \\ x=(95)/(8) \\ x=(88)/(8)+(7)/(8) \\ x=11+(7)/(8) \\ x=11(7)/(8) \end{gathered}`

Therefore the upper menu is 7 and the left menu is 11.