document.write( "Question 159990: Mrs. Johnson planned to spend $78 for fabric to make draperies.She found her fabric on sale at 20 percent less per yard than she expected and was able to buy her drapery fabric plus 4 extra yards for a bedspread for $83.20. How much fabric had she planned to buy and what was the original cost per yard? \n" ); document.write( "
Algebra.Com's Answer #118044 by ankor@dixie-net.com(22740)\"\" \"About 
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Mrs. Johnson planned to spend $78 for fabric to make draperies. She found her
\n" ); document.write( " fabric on sale at 20 percent less per yard than she expected and was able to
\n" ); document.write( " buy her drapery fabric plus 4 extra yards for a bedspread for $83.20.
\n" ); document.write( " How much fabric had she planned to buy and what was the original cost per yard?
\n" ); document.write( ":
\n" ); document.write( "Let x = amt of fabric she planned to buy
\n" ); document.write( "then
\n" ); document.write( "(x+4) = amt she ended up buying
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\n" ); document.write( "Presale price per yard = \"78%2Fx\"
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\n" ); document.write( "20% off price per yard = .8*\"78%2Fx\" = \"62.4%2Fx\"
\n" ); document.write( ":
\n" ); document.write( "Actual price per yard = \"83.20%2F%28%28x%2B4%29%29\"
\n" ); document.write( ":
\n" ); document.write( "20% off = Actual price
\n" ); document.write( "\"62.4%2Fx\" = \"83.20%2F%28%28x%2B4%29%29\"
\n" ); document.write( "cross multiply
\n" ); document.write( "83.2x = 62.4(x+4)
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\n" ); document.write( "83.2x = 62.4x + 249.6
\n" ); document.write( ":
\n" ); document.write( "83.2x - 62.4x = 249.6
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\n" ); document.write( "20.8x = 249.6
\n" ); document.write( "x = \"249.6%2F20.8\"
\n" ); document.write( "x = 12 yds she planned to buy
\n" ); document.write( ":
\n" ); document.write( "Presale price = \"78%2F12\" = $6.50 per yd
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\n" ); document.write( "Check solution by finding the actual price per yard:
\n" ); document.write( "\"83.20%2F%28%2812%2B4%29%29\" = \"83.20%2F16\" = $5.20 per yd
\n" ); document.write( "Is it equal to 20% off of $6.50 a yard?
\n" ); document.write( ".8 * 6.5 = $5.20, hurray, it is!
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