Perry makes 4 2/3 ounces of red paint and 3 1/3 oz of yellow paint to make the right shade of orange paint he needs 40 oz of orange paint to paint the top of a desk how many ounces of red and yellow paint should Perry use to make enough orange paint to cover the top of the desk
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Jim is mixing 3 oz of red paint to 5 oz of white paint. He uses a total of 21 oz. of paint.
How many oz of white paint did he use?
To find out how many ounces of red and yellow paint Perry should use, we need to calculate the total amount of orange paint required to cover the top of the desk.
Let's start by converting the mixed fractions to improper fractions:
4 2/3 = (3 x 4 + 2) / 3 = 14/3
3 1/3 = (3 x 3 + 1) / 3 = 10/3
Now, let's add the amounts of red and yellow paint Perry needs to get the right shade of orange paint:
14/3 + 10/3 = 24/3 = 8 ounces
Therefore, Perry should use a total of 8 ounces of red and yellow paint to make enough orange paint to cover the top of the desk.
To find out how many ounces of red and yellow paint Perry should use, we need to determine the ratio between red and yellow paint in the desired shade of orange paint.
First, let's convert the mixed fractions to improper fractions for ease of calculation:
- 4 2/3 ounces of red paint is equivalent to (4 x 3 + 2)/3 = 14/3 ounces.
- 3 1/3 ounces of yellow paint is equivalent to (3 x 3 + 1)/3 = 10/3 ounces.
Next, we need to find the ratio between red and yellow paint. The total ratio of red and yellow paint should be 40 ounces, with the red-yellow ratio intact.
Let's assume the amount of red paint used is 'r' ounces, and the amount of yellow paint used is 'y' ounces.
To set up an equation using the ratio, we have:
r/y = 14/10
To solve for 'r', we can multiply both sides of the equation by 'y':
r = (14/10) * y
Given that r + y = 40 (the total amount of orange paint needed), we can substitute the value of 'r' obtained earlier into this equation:
(14/10) * y + y = 40
Combining like terms, we have:
(14/10 + 1) * y = 40
(24/10) * y = 40
Now, let's solve for 'y':
(24/10) * y = 40
y = (40 * 10) / 24
y = 400 / 24
y ≈ 16.67 ounces (rounded to two decimal places)
To find 'r', we substitute the value of 'y' into the equation we obtained earlier:
r = (14/10) * y
r = (14/10) * 16.67
r ≈ 23.33 ounces (rounded to two decimal places)
Therefore, Perry should use approximately 23.33 ounces of red paint and 16.67 ounces of yellow paint to obtain enough orange paint to cover the top of the desk.