document.write( "Question 1203188: A bakery baked 1200 cupcakes and packed them into boxes. There were 5/8 as many big boxes as small boxes. Each big box contained 7 more cupcakes than each small box. There were 240 more cupcakes packed in big boxes than in the small boxes. How many cupcakes were there in each small box? \n" ); document.write( "
Algebra.Com's Answer #838547 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
This may NOT be the most effective or neatest way to handle the problem:
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document.write( "                 Boxes            CupcakesInBox   CountCupcakes\r\n" );
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document.write( "BIG BOX         (5/8)b               c+7         (5/8)b(c+7)\r\n" );
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document.write( "SMALL BOX            b                 c           bc\r\n" );
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document.write( "Total                                             1200\r\n" );
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\n" ); document.write( "\"system%28%285%2F8%29b%28c%2B7%29-bc=240%2Cand%2C%285%2F8%29b%28c%2B7%29%2Bbc=1200%29\"\r
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\n" ); document.write( "\n" ); document.write( "Simplifiable and and is system of two unknowns in two equations.\r
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\n" ); document.write( "\n" ); document.write( "NOTICE THAT THIS SYSTEM APPEARS TO BE IN A FORMAT OF\r
\n" ); document.write( "\n" ); document.write( "\"system%28X-Y=240%2CX%2BY=1200%29\"
\n" ); document.write( "which might be helpful.\r
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\n" ); document.write( "\n" ); document.write( "Solving this\r
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\n" ); document.write( "\n" ); document.write( "\"2X=1440\"
\n" ); document.write( "\"X=720\"\r
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\n" ); document.write( "\n" ); document.write( "\"2Y=960\"
\n" ); document.write( "\"Y=480\"\r
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\n" ); document.write( "\n" ); document.write( "and then back-substituting \r
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\n" ); document.write( "\n" ); document.write( "\"system%28bc=480%2Cand%2C%285%2F8%29b%28c%2B7%29=720%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"system%28bc=480%2Cand%2Cb%28c%2B7%29=1152%29\"\r
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\n" ); document.write( "\n" ); document.write( "---\r
\n" ); document.write( "\n" ); document.write( "\"bc%2B7b=1152\"
\n" ); document.write( "\"480%2B7b=1152\"
\n" ); document.write( "\"7b=1152-480\"
\n" ); document.write( "\"7b=672\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28b=96%29\"----which only means that 96 big boxes were used.\r
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\n" ); document.write( "Would indicate 5 cupcakes in each small box.
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