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?

Charlie's Carpets:

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


Cindy's Carpet


Carpet = $18/yd²

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


Summary:

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

CIndy's Carpet is cheaper.


Find Cost:

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


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