The table below shows the ratios of black paint to white paint needed to make different shades of gray paint.


Shades of Gray Black: White
Gray Pearl 1:20
Urban Gray 1:16
Gray Fox 2:1
Volcanic Gray 8:1
If the paint company mixes 4 gallons of black paint with 1/2

gallon of white paint, which shade of gray will it make?

1 answer

To determine which shade of gray the paint will create, we need to find the ratio of black paint to white paint in the mixture of 4 gallons of black paint and 0.5 gallons of white paint.

  1. Calculate the total amount of black and white paint:

    • Black paint = 4 gallons
    • White paint = 0.5 gallons
  2. Determine the ratio of black to white paint: \[ \text{Ratio} = \frac{\text{Black}}{\text{White}} = \frac{4}{0.5} = 4 \]

  3. Express the ratio as a fraction: The ratio of black to white paint can be expressed as: \[ 4:1 \]

  4. Compare with the given shades:

    • Gray Pearl: 1:20
    • Urban Gray: 1:16
    • Gray Fox: 2:1
    • Volcanic Gray: 8:1

The calculated ratio of 4:1 matches none of the listed ratios. However, understanding that a ratio of 4:1 means that for every 4 parts of black paint, there is 1 part of white paint, we can also write this in terms similar to the other ratios:

The closest comparability we can draw from the ratios:

  • Gray Fox is 2:1, which means 2 parts black and 1 part white.
  • Therefore, if we were to normalize the ratios for comparison directly with our result, we realize that 4:1 means it's denser in black paint than Gray Fox.

Conclusion: The mixture of 4 gallons of black paint with 0.5 gallons of white paint results in a ratio of 4:1, which does not directly match any provided shade of gray. In terms of its comparison to existing shades, it suggests an evolution towards a darker gray than even Volcanic Gray, due to the higher concentration of black. Thus, it could lean towards becoming an even darker gray rather than matching a given shade on the chart.

Final Answer: The mixture does not match any specific shade but is darker than the shades given (specifically gray Fox and Volcanic Gray).