you mix 2/5 cup of red paint for every 1/4 cup of blue paint to makw 1 5/8 gallons of purple paint. how much red paint and blue paint do u use
So you can make a ratio table, then multiply/divide 4/5 and 1/2 as many times as needed to reach the value of 13/8 when adding them. This is my advice to you....hope it helps!! <3
To find out how much red and blue paint you need, we'll first convert the measurements to a common unit. In this case, it would be gallons.
Given:
Red paint ratio: 2/5 cup
Blue paint ratio: 1/4 cup
Total paint required: 1 5/8 gallons
Let's convert the measurements to gallons:
Red paint:
2/5 cup = (2/5) * (1/16) gallons (since 1 cup = 1/16 gallons)
= 2/80 gallons
= 1/40 gallons
Blue paint:
1/4 cup = (1/4) * (1/16) gallons
= 1/64 gallons
So, for every 1/40 gallons of red paint, you need 1/64 gallons of blue paint to make 1 5/8 gallons of purple paint.
Let's calculate the quantities needed:
Total gallons of purple paint = 1 5/8 gallons
= (13/8) gallons
Red paint:
For every 1/40 gallons of red paint, you would need rx gallons
(1/40) * (rx) = (13/8) gallons
Cross-multiplying, we get:
rx = (1/40) * (13/8)
rx = 13/320
Hence, you would need approximately 13/320 gallons of red paint.
Blue paint:
For every 1/64 gallons of blue paint, you would need bx gallons
(1/64) * (bx) = (13/8) gallons
Cross-multiplying, we get:
bx = (1/64) * (13/8)
bx = 13/512
Hence, you would need approximately 13/512 gallons of blue paint.
Therefore, you would need approximately 13/320 gallons of red paint and 13/512 gallons of blue paint to make 1 5/8 gallons of purple paint.
To determine the amount of red and blue paint needed to make 1 5/8 gallons of purple paint, we need to use the given mixture ratio of 2/5 cup of red paint to 1/4 cup of blue paint. However, since we want to find the amount of paint in gallons, we need to convert the cups to gallons.
1 gallon is equivalent to 16 cups. Therefore, we can convert the ratio as follows:
Red paint:
2/5 cup = (2/5) * (1/16) = 2/80 = 1/40 gallon
Blue paint:
1/4 cup = (1/4) * (1/16) = 1/64 gallon
Now, let's find out how much of each paint we need to make 1 5/8 gallons of purple paint:
1 5/8 gallons = 1 gallon + 5/8 gallon = 16/16 + (5/8) * (16/16) = 16/16 + 80/16 = 96/16 gallons
Since we have a ratio of 1/40 gallon of red paint to 1/64 gallon of blue paint, we can set up a proportion to find the unknown quantities:
(red paint)/(blue paint) = (1/40)/(1/64)
To solve this proportion, we can multiply the numerators and denominators cross-wise:
(red paint)/(blue paint) = (1 * 64)/(40 * 1) = 64/40
Simplifying the fraction, we get:
(red paint)/(blue paint) = 8/5
To find the individual amounts of red and blue paint, we need to divide 96/16 gallons of purple paint in the ratio of 8/5:
Amount of red paint = (8/5) * (96/16) = (8 * 96) / (5 * 16) = 768/80 = 9.6 gallons
Amount of blue paint = (5/8) * (96/16) = (5 * 96) / (8 * 16) = 480/128 = 3.75 gallons
Therefore, to make 1 5/8 gallons of purple paint, you would use approximately 9.6 gallons of red paint and 3.75 gallons of blue paint.
2/5 : 1/4 = 8:5
1 5/8 = 13/8
so,
8/8 c red
5/8 c blue