document.write( "Question 474879: You are remodeling a room that measures 13 feet long by 12 feet wide, and has a ceiling that is 8 feet high. Carpet costs $30 a square yard, and paint costs $25 a gallon, which will cover 300 square feet. You are painting all 4 walls, and the ceiling, and you will need to order an additional 15% of carpet to account for cutting and waste. How much will your remodel project cost? {keep your answer EXACT, do not round up or down to whole yards or gallon} \r
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\n" ); document.write( "\n" ); document.write( "MY ANSWER WAS 648.5. I am converting the sq ft to sq yds by 12x13=156x1.15=179.4sqft/9=19.93x$30.00=598\r
\n" ); document.write( "\n" ); document.write( "please help \n" ); document.write( "
Algebra.Com's Answer #325690 by Theo(13342)\"\" \"About 
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room measures 13 feet long by 12 feet wide by 8 feet high.
\n" ); document.write( "carpet costs $30 a square yard.
\n" ); document.write( "paint costs $25 a gallon which covers 300 square feet.
\n" ); document.write( "you are painting all 4 walls and the ceiling.
\n" ); document.write( "you will need an additional 15% of carpet to account for cutting and waste.
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\n" ); document.write( "we'll do the painting first.
\n" ); document.write( "the total square feet that you have to paint is:
\n" ); document.write( "13 * 8 * 2 plus 12 * 8 * 2 + 13 * 12 * 1 = 208 + 192 + 156 = 556 square feet.
\n" ); document.write( "since a gallon of paint covers 300 square feet, you will need 1.853333333 gallons of paint which rounds up to 2 gallons of paint.
\n" ); document.write( "since paint costs $25 a gallon, you will need to pay $50.00 for paint.
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\n" ); document.write( "we'll do the carpeting next.
\n" ); document.write( "since carpeting is bought per square yard, you will need to convert square feet to square yards at some point in time.
\n" ); document.write( "note that 1 square yard is equal to 3 feet * 3 feet which is equal to 9 square feet.
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\n" ); document.write( "if your answer is in square feet, you divide by 9 to get square yards.
\n" ); document.write( "if your answer is in square yards, you multiply by 9 to get square feet.
\n" ); document.write( "for example:
\n" ); document.write( "9 square yards is equal to 9*9 = 81 square feet.
\n" ); document.write( "that would mean that 9 feet by 9 feet = 81 square feet.
\n" ); document.write( "divide feet by 3 to get yards and that becomes:
\n" ); document.write( "3 yards * 3 yards = 9 square yards.
\n" ); document.write( "9 square yards * 9 = 81 square feet.
\n" ); document.write( "81 square feet / 9 = 9 square yards.
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\n" ); document.write( "back to your problem.
\n" ); document.write( "your floor is 13 feet by 12 feet.
\n" ); document.write( "that would be equal to 156 square feet.
\n" ); document.write( "add 15% to get 156 square feet plus 23.4 square feet = 179.4 square feet.
\n" ); document.write( "convert that to square yards and you get 179.4 / 9 = 19.933333333 square yards.
\n" ); document.write( "assuming that you can only buy carpet by the square yard, that means you have to order 20 square yards.
\n" ); document.write( "20 square yards at a price of $30 per square yard is equal to $600.
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\n" ); document.write( "you paid a total of $50.00 for the paint and a total of $600.00 for the carpet.
\n" ); document.write( "your total bill comes out to $650.00.
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\n" ); document.write( "you are close so i suspect you did it right.
\n" ); document.write( "the actual answer depends on how you view the problem.
\n" ); document.write( "if you don't round up to the next integer, you will get a different answer than if you do round up to the next integer.
\n" ); document.write( "my assumptions were based on what i believed was the units of sale that you were allowed.
\n" ); document.write( "you clearly can't buy partial gallons.
\n" ); document.write( "you might be able to buy carpet by the square foot rather than the square yard.
\n" ); document.write( "it depends on your interpretation.
\n" ); document.write( "hopefully your instructor understand that, and/or has given you specific instructions on how to handle those issues.
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\n" ); document.write( "looking at what you did:
\n" ); document.write( "your calculations on the carpet look correct, except for the rounding.
\n" ); document.write( "if you got $50 on the paint, then your answer would have been 598 + 50 = 648.
\n" ); document.write( "where did you get 648.5?
\n" ); document.write( "calculation of painting should have been:
\n" ); document.write( "13 * 8 * 2 covers 2 walls with a length of 13 and a height of 8.
\n" ); document.write( "12 * 8 * 2 covers 2 walls with a length of 12 and a height of 8.
\n" ); document.write( "13 * 12 covers 1 ceiling with a length of 13 and a width of 12.
\n" ); document.write( "total square feet is equal to 208 + 192 + 156 = 556 square feet.
\n" ); document.write( "556/300 = 1.85333333 gallons.
\n" ); document.write( "without rounding, this be equal to 46.3333333 dollars.
\n" ); document.write( "with rounding, this would be equal to 50 dollars.
\n" ); document.write( "598 + 46.3333333 = 644.3333333
\n" ); document.write( "598 + 50 = 648
\n" ); document.write( "i don't get 648.5 either way.
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