Arnie is mixing red and yellow paints to make two different shades of orange. to make 1 cup of dark orange paint, he needs 7 ounces of red paint and 1 ounce of yellow paint. to make 2 cups of light orange paint, he needs 13 ounces of yellow paint and 3 ounces of red paint. answer parts a and b. a. arnie buys a 32-oz can of red paint. does he have enough red paint to make 3 cups of dark orange paint and 3 cups of light orange paint? explain.

Arnie has enough red paint

Step-by-step explanation:

step 1

Find out the number of ounces of red paint needed to make 3 cups of dark orange paint

Let

x -----> number of ounces of red paint

y -----> number of ounces of yellow paint

z ----> cups of dark orange

we know that

so

For z=3 cups

substitute and solve for x

step 2

Find out the number of ounces of red paint needed to make 3 cups of light orange paint

Let

x -----> number of ounces of red paint

y -----> number of ounces of yellow paint

z ----> cups of light orange

we know that

so

For z=3 cups

substitute and solve for x

step 3

Adds the ounces of red paint

therefore

Arnie has enough red paint

the answer is 62.8 cubic units