A painter mixed 56 quarts of blue and yellow paint using a ratio of 3 blue to 11 yellow how many quarts of blue paint were used
3/14 = x/56
Cross multiply and solve for x.
12/56
To find the number of quarts of blue paint used, you need to find the fraction of blue paint in the mixture.
The total ratio of blue to yellow paint is 3:11, which means that for every 3 parts of blue paint, there are 11 parts of yellow paint.
To find the fraction of blue paint, divide the number of parts of blue by the total number of parts in the ratio:
Fraction of blue paint = 3 / (3 + 11) = 3 / 14
Now, multiply this fraction by the total amount of paint used to find the number of quarts of blue paint:
Number of quarts of blue paint = (3 / 14) * 56 = 12 quarts
Therefore, 12 quarts of blue paint were used.
To find out how many quarts of blue paint were used, we need to calculate the fraction of the total paint that is blue.
To do this, we first need to find the total number of parts in the ratio. In this case, the ratio is 3 blue to 11 yellow, so the total number of parts is 3 + 11 = 14.
Next, we determine the fraction of blue paint by dividing the number of blue parts (3) by the total number of parts (14). So, the fraction of blue paint is 3/14.
Now, we can calculate the amount of blue paint used by multiplying the fraction of blue paint by the total amount of mixed paint (56 quarts):
Amount of blue paint = (3/14) * 56 =
3 * 56 / 14 =
168 / 14 = 12.
Therefore, 12 quarts of blue paint were used in the mixture.