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Question:

Geometry: Area Problem dealing with carpet?

The question isJerry found a 9-by-12 carpet for $27 and an 8-by-14 carpet for $28. He wanted to know the price of each per square foot of carpet. If he bought the better bargain, then which carpet did he buy?Can someone show me how to do this with step by step instruction...

Answer:

None of them is the better bargain.. It's the same price per square foot of carpet for both.
9 * 12 = 108 ft^2 8 * 14 = 112 ft^2 27x = 108 x = $4 a square ft 28x = 112 x = $4 a square ft they both cost the same
9X12 is 108 sqft for $27 27/108 = .25dol/sqft 8 X 14 = 112 28/112 = .25 dol/sqft Both are the same cost per square foot
9 by 12 = 108 ft?, and $27/108 = 1/4 dollar per ft?, or $0.25 / ft? 8 by 14 = 112 ft?, and $28/112 = $0.25 / ft? price is the same, so he buys the size that best fits his needs.
The area of the 1st carpet is 9*12=108. So if 108 sq ft=$27, then you divide both sides of the equation by 108 to find how much 1 sq ft equals. You get 1 sq ft=$.25. The area of the 2nd carpet is 8*14=112. So if 112 sq ft=$28, then you divide both sides of the equation by 112 to find how much 1 sq ft equals. You get 1 sq ft=$..25. This means they both cost the same amount per sq ft, therefore neither was the better bargain.

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