document.write( "Question 219509: Keli is going to make 12lbs of mixed nuts for a party. If she can spend $76.50 on nuts and peanuts cost $1.50 a pound and fancy nuts cost $8.00 per pound. How many pounds of each should she buy?\r
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document.write( "I worked it up like this but I think I an way off... (x=peanuts; y=fancy nuts)\r
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document.write( "x+y=12
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document.write( "1.5x+8y=76.5\r
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document.write( "-8x-8y=-96
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document.write( "1.5x+8y=76.5
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document.write( "-6.5x=-19.5
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document.write( "x=3\r
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document.write( "3+y=12
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document.write( "y=9\r
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document.write( "3lbs peanuts and 9 lbs of fancy nuts
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document.write( "3*1.5=4.5
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document.write( "9*8=72
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document.write( "72.00+4.50=76.50 \n" );
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Algebra.Com's Answer #165105 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Keli is going to make 12lbs of mixed nuts for a party. \n" ); document.write( " If she can spend $76.50 on nuts and peanuts cost $1.50 a pound and fancy nuts cost $8.00 per pound. \n" ); document.write( "How many pounds of each should she buy? \n" ); document.write( ": \n" ); document.write( "Let's do it this way and then look at what you did: \n" ); document.write( ": \n" ); document.write( "\"Keli is going to make 12lbs of mixed nuts for a party.\" \n" ); document.write( "x + y = 12 \n" ); document.write( "Arrange this equation to be used for substitution \n" ); document.write( "x = (12-y) \n" ); document.write( ": \n" ); document.write( " \"If she can spend $76.50 on nuts and peanuts cost $1.50 a pound and fancy nuts\" cost $8.00 per pound. \n" ); document.write( "1.5x + 8y = 76.50 \n" ); document.write( ": \n" ); document.write( "Substitute (12-y) for x in the above equation \n" ); document.write( "1.5(12-y) + 8y = 76.50 \n" ); document.write( "18 - 1.5y + 8y = 76.50 \n" ); document.write( "6.5y = 76.50 - 18 \n" ); document.write( "6.5y = 58.50 \n" ); document.write( "y = \n" ); document.write( "y = 9 lb of fancy nuts \n" ); document.write( "then \n" ); document.write( "12 - 9 = 3 lb of peanuts \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in the total $ equation \n" ); document.write( "1.5(3) + 8(9) = 76.50 \n" ); document.write( "4.5 + 72 = 76.50 \n" ); document.write( "; \n" ); document.write( "You are absolutely right!! Way to go!!! \n" ); document.write( " |