document.write( "Question 834555: Hi I'm really confused with this question...\r
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document.write( "A shopkeeper mixed a herb worth $2.50 a kilogram with another herb worth $3.50 a kilogram. He sold 20 kilograms of the mixture at $2.80 per kilogram. Find the weights of the two different herbs he mixed together. \r
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Algebra.Com's Answer #503214 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A shopkeeper mixed a herb worth $2.50 a kilogram with another herb worth $3.50 a kilogram. \n" ); document.write( " He sold 20 kilograms of the mixture at $2.80 per kilogram.\ \n" ); document.write( " Find the weights of the two different herbs he mixed together. \n" ); document.write( ": \n" ); document.write( "Let a = amt of $2.50 herbs \n" ); document.write( "Let b = amt of $3.50 herbs \n" ); document.write( ": \n" ); document.write( "Two equations \n" ); document.write( "the weight equation \n" ); document.write( "a + b = 20 \n" ); document.write( "or \n" ); document.write( "a = (20-b); use this form for substitution \n" ); document.write( ": \n" ); document.write( "the $ amt equation \n" ); document.write( "2.50a + 3.50b = 2.80(20) \n" ); document.write( "2.50a + 3.50b = 56 \n" ); document.write( "Replace a with (20-b) \n" ); document.write( "2.5(20-b) + 3.5b = 56 \n" ); document.write( "50 - 2.5b + 3.5b = 56 \n" ); document.write( "-2.5b + 3.5b = 56 - 50 \n" ); document.write( "b = 6 kg of the 3.50 herb \n" ); document.write( "then \n" ); document.write( "a = 20 - 6 \n" ); document.write( "a = 14 kg of the 2.50 herb \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check the solutions in the $ equation \n" ); document.write( "2.5(14) + 3.5(6) = 2.8(20) \n" ); document.write( "35 + 21 = 56 \n" ); document.write( ": \n" ); document.write( "Did we manage to \"unconfuse\" you here? \n" ); document.write( " |