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.