Question

from unit 4, lesson 3 a certain shade of light blue paint is made by mixing $1\frac{1}{2}$ quarts of blue paint with 5 quarts of white paint. if you need a total of 16.25 gallons of this shade of light blue paint, how much of each color should you mix? (1 gallon = 4 quarts)

Explanation:

Step1: Convert total gallons to quarts

Total quarts = $16.25 \times 4 = 65$ quarts

Step2: Find total parts in mixture

Total parts = $1\frac{1}{2} + 5 = 6.5$ parts

Step3: Calculate blue paint amount

Blue paint = $\frac{1.5}{6.5} \times 65 = 15$ quarts

Step4: Calculate white paint amount

White paint = $\frac{5}{6.5} \times 65 = 50$ quarts

Step5: Convert quarts back to gallons

Blue paint (gallons) = $\frac{15}{4} = 3.75$ gallons
White paint (gallons) = $\frac{50}{4} = 12.5$ gallons

Answer:

You need 3.75 gallons (15 quarts) of blue paint and 12.5 gallons (50 quarts) of white paint.