peter needs 1/2 gallon of white paint,2 gallons of magenta paint, and 1 quart of yellow paint for his project. what is the total volume of paint peter needs?
1 gallon = 16 cups
1 gallon = 4 quarts
2 gallons = 32 cups
32 + 8 + 4 = 44 cups
The answer is 2 3/4 gallons of paint.
To find the total volume of paint Peter needs, we need to add up the volumes of white, magenta, and yellow paint.
First, let's convert the measurements to a single unit. Since the quart is smaller than the gallon, we'll convert it to gallons.
1 quart = 1/4 gallon
Now, we can calculate the total volume:
White paint: 1/2 gallon
Magenta paint: 2 gallons
Yellow paint: 1/4 gallon
To add these fractions, we need to have a common denominator. In this case, the denominator is 4.
White paint: 1/2 gallon = 2/4 gallon
Magenta paint: 2 gallons = 8/4 gallons
Yellow paint: 1/4 gallon
Adding the fractions together:
2/4 + 8/4 + 1/4 = 11/4 gallons
So, Peter needs a total volume of 11/4 gallons of paint for his project.