document.write( "Question 272249: Nuts to You Shoppe sells cashews for $15 per kg and pecans for $10 per kg. How many kilograms of each should be mixed in order to get 20 kg of a mixture worth $12 per kg?
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document.write( "Please can you show long hand? \n" );
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Algebra.Com's Answer #199214 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Nuts to You Shoppe sells cashews for $15 per kg and pecans for $10 per kg. \n" ); document.write( "How many kilograms of each should be mixed in order to get 20 kg of a mixture worth $12 per kg? \n" ); document.write( "Please can you show long hand? \n" ); document.write( "------------- \n" ); document.write( "Two variable solution: \n" ); document.write( "Quantity Equation: c + p = 20 kg \n" ); document.write( "Value Equation::: 15c + 10p = 12*20 \n" ); document.write( "-------------------------------------------- \n" ); document.write( "Multiply thru the Quantity Equation by 15 to get: \n" ); document.write( "15c + 15p = 15*20 \n" ); document.write( "--- \n" ); document.write( "Subtract that from the Value Equation and solve for \"p\": \n" ); document.write( "-5p = -3*20 \n" ); document.write( "p = 12 kg (amt. of pecans needed in the mixture) \n" ); document.write( "------------- \n" ); document.write( "Since c+p= 20, c = 20-12 = 8 kg (amt. of cashews needed in the mix) \n" ); document.write( "========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |