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klio [65]
3 years ago
5

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 th

e 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
Mathematics
1 answer:
elena55 [62]3 years ago
8 0

Answer:

Josie should purchase floral daisy wallpaper.

Step-by-step 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}

                                                                    = \frac{(1.475\times 9.8)}{14.67}

                                                                    = \frac{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 = \frac{(8.33\times 12)}{99}

                                                                      = \frac{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.

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