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
\n" ); document.write( "\n" ); 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
\n" ); document.write( "\n" ); document.write( "Thanks for your help in advance.
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Algebra.Com's Answer #202976 by oberobic(2304)\"\" \"About 
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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
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\n" ); document.write( "\n" ); document.write( "L - S = 4 cups
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\n" ); document.write( "L + 2S = 10
\n" ); document.write( "L - S = 4
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\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
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\n" ); document.write( "Looking back, we see
\n" ); document.write( "L = S + 4 = 2 + 4 = 6
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\n" ); document.write( "Checking these values to see if they're correct...
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\n" ); document.write( "L + 2S = 10??
\n" ); document.write( "6 + 2*2 = 10??
\n" ); document.write( "Yes.
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\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.
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