Question

Josie is picking out wallpaper for a 9 feet by 10 feet accent wall in her new apartment. She has narrowed her choices down to the two choices in the "table" below. Since both have similar designs, she wants to pick the one with the best value. Which wallpaper should she pick?

Floral Daisy / 1.475 ft x 9.8 ft / $14.67
FlowerPower / 8.33 ft x 12 ft / $99

Answer 1

Josie should purchase floral daisy wallpaper.

Explanation:

Area = Length × Width

The area of the Josie's accent wall = 9 × 10 = 90 feet²

The cost of Floral Daisy per square feet
`=\frac{\text{Area of the wallpaper}}{price}`

=
`((1.475* 9.8))/(14.67)`

=
`(14.455)/(14.67)`

= 0.98534 ≈ $0.99/ft²

The cost of total wallpaper for the wall = 90 × 0.99 = $89.10

The cost of Flower Power per square feet =
`((8.33* 12))/(99)`

=
`(99.96)/(99)`

= 1.0096 ≈ $1.01/ft²

The cost of total wallpaper for the wall = 90 × 1.01 = $90.90

total savings = 90.90 - 89.10 = $1.80

∵ The floral daisy wallpaper comes in size = 1.45 ft × 9.8 ft

∴ Josie needs the number of rolls of floral daisy wallpaper to cover her wall = 7

The cost of 7 rolls = 14.67 × 7 = $102.69

To cover her wall with flower power wallpaper, she needs the number of rolls = 2

The cost of 2 rolls = 99 × 2 = $198

We can see the cost of floral daisy wallpaper is less than flower power.

Therefore, Josie should purchase floral daisy wallpaper.