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 #826068 by MathTherapy(10552) $\"\"$ $\"About$

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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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Let equal number in each small box be S\r\n" );
document.write( "Then equal number in each large box = S + 10\r\n" );
document.write( "This makes the total in the small boxes 18S, and total in large boxes, 16(S + 10), or 16S + 160\r\n" );
document.write( "Total number of tarts is then 18S + 16S + 160 = 34S + 160\r\n" );
document.write( "As  of total number of tarts is in the large boxes, it follows that  of the total\r\n" );
document.write( "number of tarts is in the small boxes. This gives us: \r\n" );
document.write( "                                                          9(34S + 160) = 25(18S) ----- Cross-multiplying \r\n" );
document.write( "                                                         306S + 9(160) = 450S\r\n" );
document.write( "                                                                9(160) = 450S - 306S\r\n" );
document.write( "                                                                9(160) = 144S\r\n" );
document.write( "                                          Number in small boxes, or \r\n" );
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document.write( "Number of tarts packed: 34S + 160 = 34(10) + 160 = 340 + 160 = 500

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