Question

he 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 16 gallons of black paint with 2 gallon of white paint, which shade of gray will it make?
A.
Gray Pearl

B.
Urban Gray

C.
Gray Fox

D.
Volcanic Gray

Answers

GPT-4o mini
To determine which shade of gray paint can be made with 16 gallons of black paint and 2 gallons of white paint, we need to first calculate the ratio of black paint to white paint in the mixture.

We have:
- Black paint: 16 gallons
- White paint: 2 gallons

Now, let's find the ratio:
\[
\text{Ratio of Black:White} = \frac{\text{Black}}{\text{White}} = \frac{16}{2} = 8:1
\]

Now, we can compare this ratio to the ratios provided for the different shades of gray:

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

The ratio of the mixture (8:1) matches the ratio for Volcanic Gray.

Thus, the correct answer is:
**D. Volcanic Gray**

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