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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( ": \n" ); document.write( "Presale price per yard = \n" ); document.write( ": \n" ); document.write( "20% off price per yard = .8* \n" ); document.write( ": \n" ); document.write( "Actual price per yard = \n" ); document.write( ": \n" ); document.write( "20% off = Actual price \n" ); document.write( " \n" ); document.write( "cross multiply \n" ); document.write( "83.2x = 62.4(x+4) \n" ); document.write( ": \n" ); document.write( "83.2x = 62.4x + 249.6 \n" ); document.write( ": \n" ); document.write( "83.2x - 62.4x = 249.6 \n" ); document.write( ": \n" ); document.write( "20.8x = 249.6 \n" ); document.write( "x = \n" ); document.write( "x = 12 yds she planned to buy \n" ); document.write( ": \n" ); document.write( "Presale price = \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution by finding the actual price per yard: \n" ); document.write( " \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! \n" ); document.write( " |