Question

Maggie is having the flooring replaced in her kitchen, living room, and master bedroom.

Answer 1

We are given three cases

Case-A: The kitchen

Let's assume install cost per-square-foot is x

The tile cost $1.73 per-square-foot plus an installation fee per-square-foot

so, the tile cost per square foot =1.73+x

The area of the kitchen is 120 square feet

so, total cost = the tile cost per square foot*area of kitchen

total cost $=(1.73+x)*120$

we have total cost =740.40

we can set equal

$740.40=(1.73+x)*120$

now, we can solve for x

$1.73+x=6.17$

$x=4.44$

so, the cost of install of kitchen per-square-foot is $4.44

Case-B: Living room

Let's assume install cost per-square-foot is x

The hardwood cost $4.98 per-square-foot plus an installation fee per-square-foot

so, the tile cost per square foot =4.98+x

The area of the living room is 200 square feet

so, total cost = the hardwood cost per square foot*area of living room

total cost $=(4.98+x)*200$

we have total cost =1688

we can set equal

$1688=(4.98+x)*200$

now, we can solve for x

$4.98+x=\frac{211}{25}$

$x=3.46$

so, the cost of install of living room per-square-foot is $3.46

Case-C: Master Bedroom

Let's assume install cost per-square-foot is x

The carpet cost $2.48 per-square-foot plus an installation fee per-square-foot

so, the carpet cost per square foot =2.48+x

The area of the master bedroom is 180 square feet

so, total cost = the carpet cost per square foot*area of master bedroom

total cost $=(2.48+x)*180$

we have total cost =928.80

we can set equal

$928.80=(2.48+x)*180$

now, we can solve for x

$2.48+x=5.16$

$x=2.68$

so, the cost of install of master bedroom per-square-foot is $2.68

so, we get different installation costs as

(1) so, the cost of install of kitchen per-square-foot is $4.44

(2) the cost of install of living room per-square-foot is $3.46

(3) the cost of install of master bedroom per-square-foot is $2.68

now, we have to arrange from least to greatest

so, arrangement will be

Master bedroom , Living room , kitchen..........Answer

Answer 2

Carpet, Hard Wood Flooring, Tile