document.write( "Question 279087: The scenario below can be represented by a system of equations. Show representations that can be used and respond to the questions.\r
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document.write( "“Two small bottles and one large bottle can hold 10 cups of water. One large bottle minus one small bottle will give you 4 cups of water. How many cups of water can each bottle hold?”\r
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document.write( "Thanks for your help in advance. \n" );
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Algebra.Com's Answer #202976 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! L = volume of liquid held by a large bottle \n" ); document.write( "S = volume of liquid held by a small bottle \n" ); document.write( "2S + L = 10 cups \n" ); document.write( "or \n" ); document.write( "L + 2S = 10 \n" ); document.write( ".\r \n" ); document.write( "\n" ); document.write( "L - S = 4 cups \n" ); document.write( ". \n" ); document.write( "L + 2S = 10 \n" ); document.write( "L - S = 4 \n" ); document.write( ". \n" ); document.write( "Subtracting the second equation from the first. \n" ); document.write( "3S = 6 \n" ); document.write( "Divide both sides by 3 \n" ); document.write( "S = 2 \n" ); document.write( ". \n" ); document.write( "Looking back, we see \n" ); document.write( "L = S + 4 = 2 + 4 = 6 \n" ); document.write( ". \n" ); document.write( "Checking these values to see if they're correct... \n" ); document.write( ". \n" ); document.write( "L + 2S = 10?? \n" ); document.write( "6 + 2*2 = 10?? \n" ); document.write( "Yes. \n" ); document.write( ". \n" ); document.write( "Answer: \n" ); document.write( "The volume of the large bottle is 6 cups. \n" ); document.write( "The volume of the small bottle is 2 cups. \n" ); document.write( " |