Respuesta :
Answer:
Part A : 0.50 gallons of blue paint
Part B : 9 gallons of green paint
Part C : $9.40 per gallon
Part D : 0.6 gallon yellow paint
Step-by-step explanation:
A painter makes green paint by mixing
Blue paint = 1 part
Yellow paint = 3 parts
White paint = 2 parts
For 1 gallon of green paint he needs
Blue paint = 1/6 of 1 gallon = 0.17 gallon
Yellow paint = 3/6 of 1 gallon = 0.5 gallon
White paint = 2/6 of 1 gallon = 0.33 gallon
Part A:
175 square feet of the room needs green paint = 1 gallon
515 square feet of the room needs green paint = 515 ÷ 175 = 2.943 gallons
In 1 gallon of green paint, the amount of blue paint = 0.17 gallon
in 2.943 gallons of green paint, the amount of blue paint is = 2.943 × 0.17 = 0.50 gallons
Part B :
The painter uses 3 gallons of white paint to make green paint.
Let the total green paint be made x gallons
[tex]\frac{2}{6}[/tex] of x gallons = 3 gallons
x = 3 × [tex]\frac{6}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9 gallons
Part C :
The painter purchases 6 gallons of paint on sale for = $153.50
Per gallon price = [tex]\frac{153.50}{6}[/tex] = $25.58
The regular price was for 4 gallons = $139.92
per gallon regular price = $34.98
The painter saves per gallon = 34.98 - 25.58 = $9.40
Part D :
The painter mixes 2 gallons of brown paint.
For that he uses 3 parts of green paint = [tex]\frac{3}{5}[/tex] × 2 = 1.2 gallons
and 2 part of red paint = [tex]\frac{2}{5}[/tex] × 2 = 0.8 gallon
For 1.2 gallons green paint, he needs yellow paint = [tex]\frac{3}{6}[/tex] × 1.2 = 0.6 gallons