Maggie is having the flooring replaced in her kitchen, living room, and master bedroom. The kitchen is getting slate tile. The tile cost $1.73 per-square-foot plus an installation fee per-square-foot. The area of the kitchen is 120 square feet, and the total cost for the flooring with installation comes to $740.40. The living room is getting hand-scraped hardwood flooring. The hardwood cost $4.98 per-square-foot plus an installation fee per-square-foot. The area of the living room is 200 square feet, and the total cost for the flooring with installation comes to $1,688.00. The master bedroom is getting berber carpet. The carpet cost $2.48 per-square-foot plus an installation fee per-square-foot. The area of the master bedroom is 180 square feet, and the total cost for the flooring with installation comes to $928.80. Place the flooring type in order from the least amount to the greatest amount of cost to install per-square-foot.

Question

Mathematics

Oliver Harvey

28 May, 07:09

Maggie is having the flooring replaced in her kitchen, living room, and master bedroom. The kitchen is getting slate tile. The tile cost $1.73 per-square-foot plus an installation fee per-square-foot. The area of the kitchen is 120 square feet, and the total cost for the flooring with installation comes to $740.40. The living room is getting hand-scraped hardwood flooring. The hardwood cost $4.98 per-square-foot plus an installation fee per-square-foot. The area of the living room is 200 square feet, and the total cost for the flooring with installation comes to $1,688.00. The master bedroom is getting berber carpet. The carpet cost $2.48 per-square-foot plus an installation fee per-square-foot. The area of the master bedroom is 180 square feet, and the total cost for the flooring with installation comes to $928.80. Place the flooring type in order from the least amount to the greatest amount of cost to install per-square-foot.

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Answers (1)

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Nikolas · Answer 1

The first step is to find the installation cost of each flooring.

let i be the instalation fee, and i2 and i3 correspond to scenarios 2 and 3

(1.73) (120) + i=740.40

(4.98) (200) + i2=1,688.00

(2.48) (180) + i3=928.80

i=532.8

i2=692.00

i3=482.4

ok, so we have the total installation cost for each room. Now we divide that by square feet.

532.8/120=4.44

692.00/200=3.46

482.4/180 = 2.68

Ordering that from least to greatest, you get Berber carpet, hand-scraped hardwood, and slate tile, which has the greatest installation fee.

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