Question

To mix a certain shade of grey, the ratio of white paint to black paint is 4 to 3. Let w be the amount of white paint (in gallons) and b be the amount of black paint (in gallons).

a) w = 4b
b) w = 3b
c) w = 3/4b
d) w = 4/3b

Answer 1

The correct expression to represent the relationship between the amount of white paint (w) and black paint (b) in a 4:3 ratio is option a) w = 4b.

Step-by-step explanation:

The student is asked to find the expression that represents the relationship between the amount of white paint, denoted as w, and black paint, denoted as b, given the ratio of white to black paint is 4 to 3. The correct answer to express w in terms of b would be w = 4b, as this means for every 3 gallons of black paint, there are 4 gallons of white paint to maintain the ratio of 4:3. Therefore, option a) w = 4b is the correct expression.