Answer:
Amount of green color used =
[tex]\dfrac{64}{7}\text{ gallons}[/tex]
Step-by-step explanation:
We are given the following in the question:
Every 4 gallons of green paint is mixed with 3 gallons of blue paint. to make a particular shade.
Ratio of green color to blue paint can be calculated as:
[tex]=\dfrac{\text{Amount of green color}}{\text{Amount of blue color}}\\\\=\dfrac{4}{3}[/tex]
Amount of shade = 16
Amount of green paint = [tex]4x[/tex]
Amount of blue paint = [tex]3x[/tex]
Thus, we can write:
[tex]4x + 3x = 16\\7x = 16\\\\x = \dfrac{16}{7}[/tex]
Amount of green color used =
[tex]4x = 4\times \dfrac{16}{7} = \dfrac{64}{7}\text{ gallons}[/tex]
Amount of blue paint used =
[tex]3x = 3\times \dfrac{16}{7} = \dfrac{48}{7}\text{ gallons}[/tex]