A certain shade of blue paint is made by mixing quarts of blue paint with 5 quarts of white paint. If you need a total of 16.25 gallons of this shade of blue paint, how much of each color should you mix?
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To find out how much blue and white paint to mix, we first convert 16.25 gallons to quarts since there are 4 quarts in a gallon:
16.25 gallons × 4 quarts/gallon = 65 quarts.
Let \( x \) be the quarts of blue paint. Since there are 5 quarts of white paint, the total mixture can be expressed as:
\[ x + 5 = 65. \]
Solving for \( x \):
\[ x = 65 - 5 = 60. \]
Thus, you need 60 quarts of blue paint and 5 quarts of white paint.