Question

If 7 gallons of paint are needed to paint 4 rooms. How many gallons of paint will they need to paint 11? set up the proportion then solve it.

Answer 1

Given the information, we have a direct proportionality. Then, the proportions would be:

`(7)/(x)=(4)/(11)`

solving for x we get the following:

`\begin{gathered} (7)/(x)=(4)/(11) \\ \Rightarrow7=(4)/(11)\cdot x \\ \Rightarrow(7)/((4)/(11))=x \\ \Rightarrow x=(11\cdot7)/(4)=(77)/(4)=19(1)/(4) \\ x=19(1)/(4) \end{gathered}`

therefore, to paint 11 rooms, we will need 19 1/4 gallons of paint