Set up and solve a proportion for the following application problem. If 3 pounds of grass seed cover 416 square​ feet, how many pounds are needed for 4992 square​ feet?

Answer 1

Let x represent the number of pounds needed for 4992 square feet.

The proportion can be set up as follows:

3 pounds / 416 square feet = x pounds / 4992 square feet

To solve for x, cross multiply:

3 * 4992 = 416 * x
14976 = 416x

Divide both sides by 416 to solve for x:

x = 14976 / 416
x = 36

Therefore, 36 pounds of grass seed are needed for 4992 square feet.