Question

You are shopping for carpet for your living room which measures 19 feet by 12 feet. Charlie's Carpets sells carpet for $18 per square yard plus $2 per square yard for installation. This week Charlie's is giving 20% off the cost of the carpet only. Cindy's Carpet price is $18 per square yard installed, with a 10% sale. Where should you purchase your carpet and how much does it cost?

Answer 1

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Charlie's Carpets:
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Carpet : $18/yd
Installation: $2/yd

Discount: 20% x $18 = 0.2 x 18 = $3.60
Carpet Price after discount = $18 - $3.60 = $14.40/yd²

Carpet Price with installation $14.40 + $2 = $16.40/yd²

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Cindy's Carpet
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Carpet = $18/yd²

Discount = 10% = 0.1 x $18 = $1.80
Price after Discount = $18 - $1.80 = $16.20/yd²

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Summary:
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Charlie's Carpet = $16.40/yd²
Cindy's Carpet = $16.20/yd²

CIndy's Carpet is cheaper.

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Find Cost:
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Length = 19 x 1/3 = 19/3 yards
Width = 12 x 1/3 = 4 yards

19/3 x 4 = 25 1/3 yd²

Cost = 25 1/3 x $16.20 = $410.40

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Answer: Cindy's Carpet is cheaper and it will cost $410.40.
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