Respuesta :

Answer:

We require 0.105 gallons of insecticide to make [tex]\displaystyle\frac{3}{4}\text{ gallons}[/tex] of the solution.                  

Step-by-step explanation:

We are given the following information in the question:

A solution must be 14% insecticide.

Amount of solution to be made =

[tex]\displaystyle\frac{3}{4}\text{ gallons}[/tex]

Amount of insecticide to be used =

[tex]14\%\times \text{Solution to be made} = 14\%\times \displaystyle\frac{3}{4}\\\\= \displaystyle\frac{14}{100}\times \frac{3}{4}\\\\= \frac{21}{200}\text{ gallons} = 0.105\text{ gallons}[/tex]

Thus, we require 0.105 gallons of insecticide to make [tex]\displaystyle\frac{3}{4}\text{ gallons}[/tex] of the solution.