The ratio of yellow paint to blue paint is 3 quarts to make the color green to paint my bathroom. I need a total of quarts of yellow paint. How many quarts of blue paints I need?

How many quarts of yellow paint do you need?

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The ratio of yellow paint to blue paint is 3 quarts to 2 quarts to make the color green to paint my bathroom. I need a total of 12 quarts of yellow paint?

3/2 = 12/x

Cross multiply and solve for x.

To find out the number of quarts of yellow paint you need, you can first determine the total amount of paint required. Let's say the total amount of paint needed is represented by "x."

Since the ratio of yellow paint to blue paint is 3 quarts to make the color green, and yellow paint is used to make green, we can assume that the amount of yellow paint required is 3/4 of the total amount, or 3/4x.

Similarly, blue paint is not required to make green, but since we are looking for the amount of blue paint needed, we can assume that the amount of blue paint required is 1/4 of the total amount, or 1/4x.

Now that we have set up the equation, we also know that the total amount of paint required is given as quarts.

So, the equation becomes:

3/4x + 1/4x = x

Now we can solve for x:

3/4x + 1/4x = 1x

Combining like terms:

4/4x = 1x

Simplifying:

1x = 1x

Thus, the total amount of paint, represented by "x," is the number of quarts of yellow paint you need, and hence, also the number of quarts of blue paint required for your bathroom.