Question

Jonathon is mixing orange paint. He uses a 7: 5 ratio of red paint to yellow paint. If Jonathon has 35 ounces of yellow paint, how much total orange paint can he make?​

Answer 1

Jonathon can make 84 ounces of orange paint using a 7:5 ratio of red to yellow paint when he starts with 35 ounces of yellow paint.

Step-by-step explanation:

Jonathon is using a 7:5 ratio of red paint to yellow paint to mix orange paint. Given that he has 35 ounces of yellow paint, we can determine how much total orange paint he can make by setting up a proportion based on the given ratio.

Let's designate R as the amount of red paint needed. According to the ratio, for every 5 parts of yellow paint, we need 7 parts of red paint:

• 5 parts yellow : 7 parts red
• 35 ounces yellow : R ounces red

Next, we set up a proportion to solve for R:

5/7 = 35/R

Now, cross multiply to find the value of R:

5R = 7 × 35

R = (7 × 35) / 5

R = 245 / 5

R = 49 ounces

To find the total amount of orange paint, we need to add the amount of red paint to the amount of yellow paint:

Total orange paint = 35 ounces (yellow) + 49 ounces (red)

Total orange paint = 84 ounces