document.write( "Question 1193944: Ken packed some tarts into 16 big and 18 small boxes. There is an equal number of tarts in each big box and an equal number of tarts in each small box. Each big box contained 10 more tarts than each small box. 16/25 of the tarts are packed in the big boxes. How many tarts did Ken packed in all?
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Algebra.Com's Answer #826004 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Ken packed some tarts into 16 big and 18 small boxes.
\n" ); document.write( "There is an equal number of tarts in each big box and an equal number of tarts in each small box.
\n" ); document.write( "Each big box contained 10 more tarts than each small box.
\n" ); document.write( "16/25 of the tarts are packed in the big boxes. How many tarts did Ken packed in all?
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document.write( "Let x be the number of tarts in each small box; \r\n" );
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document.write( "then the number of tarts in each big box is (x+10).\r\n" );
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document.write( "The total number of tarts is  16*(x+10) + 18x = 16x + 160 + 18x = 34x + 160.\r\n" );
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document.write( "From the condition, we have this equation\r\n" );
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document.write( "     = 16*(x+10).\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    16*(34x + 160) = 25*16*(x+10)\r\n" );
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document.write( "    544x   +  16*160 = 400x + 4000\r\n" );
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document.write( "    544x - 400x = 4000 - 16*160\r\n" );
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document.write( "       144x     =    1440\r\n" );
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document.write( "          x     =    1440/144 = 10.\r\n" );
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document.write( "ANSWER.  Total tarts = 34x + 160 = 34*10 + 160 = 340 + 160 = 500.\r\n" );
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