Answer: It will take 199.5 gallons to paint the whole fence.
Step-by-step explanation:
Given: Paint required to paint [tex]\dfrac47[/tex]of fence = 114 gallons
Then , paint required to paint whole fence = [tex]114\div\dfrac47[/tex]
i.e. paint required to paint whole fence = [tex]114\times\dfrac{7}{4}[/tex]
i.e. Paint required to paint whole fence= 199.5 gallons
Hence, it will take 199.5 gallons to paint the whole fence.