A blueprint for a house states that a 6 inch line represent 11 2/3 feet on the actual home. If the house is to be a total height of 20 feet, how many inches high would it be on the blueprint.

Let x = number of inches high the house would be on the blueprint.

6 inches/x = 11_2/3 feet/20 feet

Rewrite 11_2/3 feet as 35/3 feet.

6/x = (35/3) / 20

x (35/3) = 6 (20)

x (35/3) = 120

35x/3 = 120

35x = 120 (3)

35x = 360

x = 360/35

Can you finish now?