Perry makes foreign 2/3 ounces of red paint and 3 1/3 oz of yellow paint to make the right shade of orange painthe needs 40 oz of orange paint to paint the top of a desk and 30 oz of another color paint to paint the rest of the desk how many ounces of red and yellow paint repair in use to make enough orange paint to cover the top of the
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To determine the amount of red and yellow paint that Perry needs to make enough orange paint to cover the top of the desk, we can follow these steps:
Step 1: Calculate the amount of red paint needed:
The total amount of orange paint required is 40 ounces. Let's assume Perry will need x ounces of red paint.
According to the information given, Perry makes 2/3 ounces of red paint, so we can set up the equation:
2/3 * x = 40
Step 2: Solve the equation for x:
To solve for x, we can multiply both sides of the equation by 3/2 to isolate x:
3/2 * (2/3 * x) = 3/2 * 40
(3/2) * (2/3) * x = 3/2 * 40
x = 60
Step 3: Calculate the amount of yellow paint needed:
The total amount of yellow paint required is 40 ounces minus the amount of red paint used for the top of the desk, which is 40 - 60 = -20 ounces. However, negative quantities do not make sense in this context, so we can assume that no yellow paint is needed for the top of the desk.
Step 4: Calculate the amount of yellow paint needed for the rest of the desk:
Let's assume Perry will need y ounces of yellow paint for the rest of the desk. According to the information given, Perry makes 3 1/3 ounces of yellow paint, so we can set up the equation:
3 1/3 * y = 30
Step 5: Convert the mixed number into a fraction:
To convert 3 1/3 into a fraction, we multiply the whole number (3) by the denominator of the fraction (3) and add the numerator (1):
3 * 3 + 1 = 10/3
Step 6: Solve the equation for y:
To solve for y, we can multiply both sides of the equation by 3/10 to isolate y:
3/10 * (10/3 * y) = 3/10 * 30
(3/10) * (10/3) * y = 3/10 * 30
y = 10
Therefore, Perry needs 60 ounces of red paint and 10 ounces of 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 needs to make enough orange paint to cover the top of the desk, we need to add up the quantities of red and yellow paint used to make orange paint, and subtract it from the required total of 40 ounces.
First, we need to calculate the total amount of paint Perry needs to mix together to make orange paint. Perry uses 2/3 ounces of red paint and 3 1/3 ounces of yellow paint to create the right shade of orange.
To add these fractions, let's find a common denominator, which in this case is 3.
2/3 ounces of red paint can be written as 2/3 * 3/3 = 6/9 ounces of red paint.
3 1/3 ounces of yellow paint can be converted to improper fraction as follows:
3 * 3 + 1 = 10
10/3 ounces of yellow paint.
Now, let's add the amounts of red and yellow paint together:
6/9 + 10/3 = (6 * 3 + 10)/9 = 28/9 ounces of paint.
To find out how much additional paint Perry needs for the rest of the desk, we subtract the quantity of orange paint we just calculated from the required total of 40 ounces:
40 - 28/9 = (360/9) - (28/9) = 332/9 ounces.
Therefore, Perry needs 332/9 ounces of another color paint for the rest of the desk.
To convert this mixed fraction to a whole number and fraction, divide 332 by 9:
332 รท 9 = 36 with a remainder of 8.
So, Perry needs 36 and 8/9 ounces of another color paint to paint the rest of the desk.
In summary, Perry will need 28/9 ounces of red paint and 10/3 ounces of yellow paint to make enough orange paint to cover the top of the desk. Additionally, he needs 36 and 8/9 ounces of another color paint to paint the rest of the desk.
foreign 2/3 ounces?
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