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Luminous
September 9th, 2013, 09:02 AM
My math teacher has started giving us math problems every day, as well as our usual curriculum. Here is today's:

I am shopping for carpet for my living room and dining room. My living room is 21 feet by 15 feet and my dining room is 12 feet by 9 feet. I went to Home Depot and priced two different carpets. One for $ 14.95 a square yard installed and another for $ 19.99 a square yard installed. How much would I save (in $$) by choosing the cheaper carpet? What are some other things besides money that they should consider before making their choice? After you find out how much carpet I need, figure out the savings in one calculation. Explain your answer. 21 x 15 LR 12 x 9 DR


To be honest, I'm completely and totally stumped. I know 21 ft is 7 yds, 15 ft = 5 yds. That's not square yards but, it wasn't square feet. so 7 x 5 LR. 12 ft x 9 ft = 4 yd x 3 yds. So now we've got this last equation changed to:
7 x 5 LR 4 x 3 DR. From here I'm not sure where to go. Maybe I did something wrong and shouldn't have converted to yards. PLEASE help me, PLEASE PLEASE PLEASE

EDIT: After lots and lots of thinking I came up with this answer, I sure hope it's right lol 'cause I sent it:

It took me a while to understand how to figure this one out.. but I think I got it.

First, I need to convert the measurements into square yards. By doing that I can see how many square yards are in the room, and then I will multiply that by the price per sq yd.

Length x width = square feet. So 21 x 15 = 315 and 12 x 9 = 108. Now, to convert the square feet into square yards, divide the square feet by 9.

315/9 = 35 square yards. 108/9 = 12 square yards. Since 'you'll' be carpeting both rooms I'm going to add 35 + 12 = 47. In total, you'll be carpeting 47 square yards of floor.

47 x 14.95 = 702.65 it would cost $702.65 to carpet 47 square yards using the cheaper carpet.

47 x 19.99 = 939.53 it would cost $939.53 to carpet 47 square yards using the more expensive carpet.

939.53 - 702.65 = 236.88

By using the cheaper carpet you would save $236.88