The amount of paint a painter needs is directly proportional to the area of the object he is painting. If a painter needs g gallons of paint for every s square feet that he paints, what is the total amount of paint that he needs to paint a house in terms of g and s?
If the house has area h, then he will need
(h/s)*g
or, think of it like this
g gal = s ft^2
g/s is the gal/ft^2 needed
So, for a house of area h ft^2, he will need h(g/s)
To find the total amount of paint needed to paint a house, we need to determine the area of the house first. Let's assume that the area of the house is A square feet.
Since the amount of paint needed is directly proportional to the area of the object being painted, we can set up a proportion:
g gallons of paint / s square feet = x gallons of paint / A square feet
Cross-multiplying, we get:
x = (g gallons of paint / s square feet) * A square feet
Simplifying, we find:
x = g * A / s
Therefore, the total amount of paint needed to paint the house is g * A / s gallons.
To determine the total amount of paint needed to paint a house, we need to know the area of the house. Let's assume that the area of the house is A square feet.
Since the amount of paint needed is directly proportional to the area of the object being painted, we can set up a proportionality equation:
gallons of paint / square feet = g / s
Now, we can solve for the total amount of paint needed. To do this, we'll cross-multiply and solve for the total amount of paint (P):
P = (gallons of paint / square feet) * A
Substituting the given proportionality equation, we get:
P = (g / s) * A
Therefore, the total amount of paint that the painter needs to paint a house is given by the equation P = (g / s) * A.