Giselle will combine blue paint, green paint, and white paint in the ratio $3:2:4$, respectively. If she uses $12$ quarts of white paint, how many quarts of green paint should she use?
The ratio of white paint to green paint is $4:2$ which simplifies to $2:1$, so Giselle should use twice as much white paint as green paint. Since she uses $12$ quarts of white paint, she should use $12 \div 2 = \boxed{6}$ quarts of green paint.
6
Level 2
Prealgebra
Problem: Giselle will combine blue paint, green paint, and white paint in the ratio $3:2:4$, respectively. If she uses $12$ quarts of white paint, how many quarts of green paint should she use?
Solution:<|START_OF_LATENT|><|PRIOR_PREFIX|>To find the amount of green paint Giselle should use, we first need to understand the ratio of the paints. The ratio of blue to green to white paint is given as 3:2:4. This means for every 3 parts of blue paint, there are 2 parts of green paint and 4 parts of white paint.

Next, we denote the total parts in the ratio. The total parts can be calculated as follows:
Total parts = 3 (blue) + 2 (green) + 4 (white) = 9 parts.

Now, we know Giselle uses 12 quarts of white paint. Since white paint corresponds to 4 parts in the ratio, we can set up a proportion to find the value of one part:
4 parts (white) = 12 quarts.

To find the value of one part, we divide the total quarts of white paint by the number of parts it represents:
1 part = 12 quarts / 4 parts = 3 quarts per part.

Now that we know the value of one part, we can find out how many quarts of green paint Giselle should use. Green paint corresponds to 2 parts in the ratio. Therefore, we calculate the amount of green paint as follows:
Green paint = 2 parts × 3 quarts per part = 6 quarts.

Thus, the final answer is 6.<|END_OF_LATENT|> The final answer is $6$.