Jorge is mixing a special shade of orange paint. He mixed 1 gallon of red paint with 3 gallons of yellow paint. Based on this ratio, which of the following statements are true?

a. 3/4 of a 4-gallon mix would be yellow paint.

b. Every 1 gallon of yellow paint requires 1/3 gallon of red paint.

c. Every 1 gallon of red paint requires 3 gallons of yellow paint.

d. There is 1 gallon of red paint in a 4-gallon mix of orange paint.

e. There are 2 gallons of yellow paint in an 8-gallon mix of orange paint.

a. b. c. and d. are true; e. is false

Step-by-step explanation:

1 gallon of red paint : 3 gallons of yellow paint

&

1 gallon of red paint + 3 gallons of yellow paint = 4 gallons of orange paint

a. 3/4 of a 4-gallon mix would be yellow paint.

True. 3 out of 4 gallon mix is yellow and 1 out 4 is red

b. Every 1 gallon of yellow paint requires 1/3 gallon of red paint.

1 gallon of red paint : 3 gallons of yellow paint

divide by 3 in both sides of:

1/3 gallon of red paint : 3/3 gallons of yellow paint

1/3 gallon of red paint: 1 gallon of yellow paint. True

c. Every 1 gallon of red paint requires 3 gallons of yellow paint.

True. 1 gallon of red paint : 3 gallons of yellow paint

d. There is 1 gallon of red paint in a 4-gallon mix of orange paint.

True. 1 out of 4 is red and 3 out of 4 is yellow.

e. There are 2 gallons of yellow paint in an 8-gallon mix of orange paint.

1 gallon of red paint + 3 gallons of yellow paint = 4 gallons of orange paint

Multiply by 2 each side of the equation

2 (1 of red paint + 3 of yellow paint) = 2 (4 of orange paint)

apply to each member of the parenthesis ()

2 of red paint + 6 of yellow paint = 8 of orange paint

Actually there are 6 gallons of yellow paint in a 8 gallon mix. So e. is false.