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:

$\begin{gathered} \text{green}\to\text{blue} \\ 1\text{ batch}\to2\frac{3}{8}\text{ oz} \\ 5\text{ batches}\to x\text{ oz} \end{gathered}$

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

$2\frac{3}{8}=2+\frac{3}{8}=\frac{16}{8}+\frac{3}{8}=\frac{19}{8}$

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

$\begin{gathered} \frac{1}{5}=\frac{\frac{19}{8}}{x} \\ x\cdot1=5\cdot\frac{19}{8} \\ x=\frac{95}{8} \\ x=\frac{88}{8}+\frac{7}{8} \\ x=11+\frac{7}{8} \\ x=11\frac{7}{8} \end{gathered}$

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