document.write( "Question 230572: A whale A baker purchased 5 lb of wheat flour and 15 lb of rye flour for a total cost of $14.75. A second purchase, at the same prices, included 5 lb of wheat flour and 14 lb of rye flour. The cost of the second purchase was $14.01.
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document.write( "Find the cost per pound of the wheat flour and the rye flour.\r
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Algebra.Com's Answer #170767 by Stitch(470)![]() ![]() ![]() You can put this solution on YOUR website! Price of Wheat flour per lb = X Price of Rye flour per lb = Y\r \n" ); document.write( "\n" ); document.write( "Equation 1: 5*X + 15*Y = $14.75 \n" ); document.write( "Equation 2: 5*X + 14*Y = $14.01\r \n" ); document.write( "\n" ); document.write( "Set both euations equal to zero \n" ); document.write( "Equation 1: 5*X + 15*Y - $14.75 = 0 \n" ); document.write( "Equation 2: 5*X + 14*Y - $14.01 = 0\r \n" ); document.write( "\n" ); document.write( "Now we can set the equations equal to each other \n" ); document.write( "5*X + 15*Y - $14.75 = 5*X + 14*Y - $14.01 \n" ); document.write( "Subtract 5*X from both sides \n" ); document.write( "15*Y - $14.75 = 14*Y - $14.01 \n" ); document.write( "Subtract 14*Y from both sides \n" ); document.write( "Y - $14.75 = -$14.01 \n" ); document.write( "Add $14.75 to both sides \n" ); document.write( "Y = $0.74\r \n" ); document.write( "\n" ); document.write( "I plugged $0.74 back in for Y in equation 1. (You can use either equation)\r \n" ); document.write( "\n" ); document.write( "Equation 1: 5*X + 15*Y - $14.75 = 0 \n" ); document.write( "5*X + 15*$0.74 - $14.75 = 0 \n" ); document.write( "5*X + $11.1 - $14.75 = 0 \n" ); document.write( "5*X + -$3.65 = 0 \n" ); document.write( "5*X = $3.65 \n" ); document.write( "Divide both sides by 5 \n" ); document.write( "X = $0.73 \n" ); document.write( " \n" ); document.write( " |