document.write( "Question 232281: Translate the sentence below and write the 2 equations. Then solve the equations using substitution or addition.
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document.write( "Six bananas and three kiwis cost $3.36. Two bananas and five kiwis cost $3.04. Find the cost of a banana and the cost of a kiwi.
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document.write( "b=
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document.write( "k= \n" );
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Algebra.Com's Answer #171702 by unlockmath(1688) You can put this solution on YOUR website! Hello, \n" ); document.write( "Set up the following. \n" ); document.write( "6 times b would give the cost of the bananas where b is the price of one banana. \n" ); document.write( "3 times k would be the cost for the kiwis. Total is $3.36 The equation is: \n" ); document.write( "6b + 3k = $3.36 \n" ); document.write( "The other equation would look like this: \n" ); document.write( "2b + 5k = $3.04 Let's multiply this equation by -3 so to get 2b into -6b then we'll add both equations together. \n" ); document.write( " 6b + 3k = $3.36 \n" ); document.write( "-6b -15k = -9.12 \n" ); document.write( "We add the two above equations to get: \n" ); document.write( " -12k = -5.76 Solve for k by dividing -12 into both sides.\r \n" ); document.write( "\n" ); document.write( " k = .48 So the kiwi costs $0.48 each. Plug this into one of the original equations to look like this: \n" ); document.write( "6b + 3(.48) = $3.36 Subtract $1.44 from both sides. \n" ); document.write( "6b = $1.92 Divide each side by 6 \n" ); document.write( " b = $.32 So the bananas each cost $0.32 \n" ); document.write( "Kiwis cost $0.48 each \n" ); document.write( "Bananas cost $0.32 each \n" ); document.write( "RJ Toftness \n" ); document.write( "www.math-unlock.com \n" ); document.write( " |