Christopher is going to install wallpaper on the four walls of his room. Two of the walls are 14 feet long by 9 feet high. The other two walls are 20 feet long by 9 feet high. His options at the wallpaper store are below. One single roll of wallpaper costs $20 and covers 18 square feet of area. One double roll of wallpaper costs $40 and covers 54 square feet of area. What is the minimum cost of installing the wallpaper on the four walls of Christopher's room?
Given:
2 walls - 14ft by 9ft
2 walls - 20ft by 9ft
Wall 1 & 2 = 14ft 9ft = 126 ft² x 2 = 252 ft²
Wall 3 & 4 = 20ft 9ft = 180 ft² x 2 = 360 ft²
Total area = 252 ft² + 360 ft² = 612 ft²
Cost of 1 single roll: $20
612 ft² ÷ 18 ft² = 34 rolls * $20 = $680
Cost of double roll: $40
612 ft² ÷ 54 ft² = 11.33 rolls ⇒ 12 double rolls
12 * $40 = $480
If Christopher opts for 1 single roll of wallpaper, he'll spend $680.
If he opts for double roll of wallpaper, he'll spend $480.
Double roll of wallpaper is the cheaper option. He'll save $200 if he'll buy the double roll of wallpaper.