Question

Dara is mixing her own paint color, using 3 parts green paint to 2 parts blue to 1 part white. Given that there are 4 quarts in a gallon, if she needs 3 gallons of her paint, how many quarts of white paint should she buy?

A) 3 quarts
B) 2 quarts
C) 1 quart
D) 4 quarts

Answer 1

To mix 3 gallons of paint in the given ratio, Dara needs to buy 2 quarts of white paint, as it constitutes 1 part in the 6-part mixture.

Step-by-step explanation:

The question is asking us to apply a ratio to determine the quantity of white paint needed when mixing a specific custom color. Dara wants to mix 3 gallons of paint using the ratio of 3 parts green to 2 parts blue to 1 part white.

First, we establish the ratio of white paint which is 1 part of the total parts (3+2+1=6).

Next, we convert the total amount of paint needed from gallons to quarts, using the conversion factor that there are 4 quarts in a gallon. So, for 3 gallons, Dara needs 3 × 4 = 12 quarts of total paint.

Then, we apply the ratio.
The fraction of the white paint is 1/6, and to find out how many quarts of white paint are needed, we calculate 1/6 of 12 quarts, which equals 2 quarts. Therefore, Dara should purchase 2 quarts of white paint (Option B).