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# Equations and inequalities

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Betty has the rectangular kitchen that is 20‘ x 15‘ she wants to have the kitchen tiles and she has a budget of \$5600 the contractor charges for tile and floor insulation to a couple ways the amount of tile the contractor buys is 10% more than the measured area of the kitchen.

a.  How many square feet of tile will the contractor but?

B.  The contractor charges six dollars per square foot for installation and the sale tax rate is 6% for tile and labor what is the maximum cost per square foot of tile that but Betty  can afford

Jan 9, 2019

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Kitchen is 20x15 = 300 sq ft

A.    10% more is   300 x 1.10 = 330 sq ft

B.     Charge for installation will be    (\$6   +   .36)300           +   (tile cost * 1.06)  = \$ 5600

Remember..contractor BUYS 330 sqft but INSTALLS only 300 sq ft

solve for 'tile cost'

6.36(300) + 1.06 tilecost = 5600

1908 +1.06 tile cost = 5600

1.06 tile cost = 3692

tile cost = 3483.02            for  330 sq ft

sq ft tile cost =  3483.02/330 = \$10.55 sq ft      (again remember 330 sq ft purchased)

Jan 9, 2019