Question

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

Answer 1

Amount of green color used =

`(64)/(7)\text{ gallons}`

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:

`=\frac{\text{Amount of green color}}{\text{Amount of blue color}}\\\\=(4)/(3)`

Amount of shade = 16

Amount of green paint =
`4x`

Amount of blue paint =
`3x`

Thus, we can write:

`4x + 3x = 16\\7x = 16\\\\x = (16)/(7)`

Amount of green color used =

`4x = 4* (16)/(7) = (64)/(7)\text{ gallons}`

Amount of blue paint used =

`3x = 3* (16)/(7) = (48)/(7)\text{ gallons}`