For every 4 gallons of green paint he uses 3 gallons of blue paint. Drag the correct number of each type of paint into the box that would make 16 gallons of paint the same shade of green

Respuesta :

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]