Question

Hi how are you today can you please help me with this question

Answer 1

If:

`(a)/(b)=(c)/(d)=(e)/(f)=(a+c+e)/(b+d+f)`

so:

`\begin{gathered} 15\colon9\colon4 \\ (15)/(1)=(9)/(1)=(4)/(1)=(15+9+4)/(3)=(28)/(3) \end{gathered}`
`\begin{gathered} (3)/(x)=(28)/(3) \\ x=(9)/(28) \end{gathered}`

Or:

0.32 liters

(b)

We need to find the volume of the rectangular prism, therefore:

`\begin{gathered} V=l\cdot w\cdot h \\ V=40\cdot20\cdot35 \\ V=28000cm^3 \end{gathered}`

However, we need to express the volume in liters, so:

`28000cm^3*(1L)/(1000cm^3)=28L`

Since we need to know the amount of mango juice:

`28\cdot(2)/(5)=11.2L`