document.write( "Question 1155898: --------------- QUESTION FOLLOWS --------------------------
\n" ); document.write( "100 people get in $1 dollar. How many men, women, and children get in for $1 dollar? 2 cent for men, 5 cent for women, 1 cent for every 10 kids \n" ); document.write( "

Algebra.Com's Answer #778580 by ikleyn(52778) $\"\"$ $\"About$

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document.write( "ANSWER.  70 kids, 19 men and 11 women.\r\n" );
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document.write( "CHECK.   counting people  70 + 19 + 11 = 100.\r\n" );
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document.write( "         counting cents  7 (kids) + 38 (men) + 55 (women) = 100 cents.\r\n" );
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document.write( "Solution.\r\n" );
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document.write( "You have 2 equations\r\n" );
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document.write( "    k  +  m +  w = 100     (1)      (counting people)\r\n" );
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document.write( "     + 2m + 5w = 100    (2)      (counting cents)\r\n" );
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document.write( "Multiply equation (1) by 2 (both sides).  Keep equation 2 as is.  You get\r\n" );
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document.write( "    2k +  2m + 2w = 200    (3)      \r\n" );
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document.write( "     + 2m + 5w = 100    (4)     \r\n" );
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document.write( "From equation (3), subtract equation (4).  You get\r\n" );
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document.write( "    1.9k            + 3w = 100.\r\n" );
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document.write( "So,  w = .\r\n" );
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document.write( "From this equation, find w in a way to get the INTEGER NUMBER.\r\n" );
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document.write( "REMEMBER that  \"k\"  is  (should be)  multiple of  10.\r\n" );
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document.write( "Then you will find  k = 70, w = 11  .\r\n" );
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\n" ); document.write( "\n" ); document.write( "Don't panic.\r
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