document.write( "Question 1100453: Together, Katya and Mimi have 480 pennies in their piggy banks. After Katya lost ½ of her pennies and Mimi lost 2/3 of her pennies, they both had an equal number of pennies left. How many pennies did they lose altogether?
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Algebra.Com's Answer #714932 by ikleyn(52805)\"\" \"About 
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document.write( "K + M = 480,      (1)\r\n" );
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document.write( "\"%281%2F2%29%2AK\" = \"%281%2F3%29%2AM\"     (2)   (after their losses)\r\n" );
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document.write( "K = \"%282%2F3%29%2AM\".     Substitute it into eq(1). You will get\r\n" );
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document.write( "\"%282%2F3%29%2AM\" + M = 480  ====>  \"%285%2F3%29%2AM\" = 480  ====>  M = \"%28480%2A3%29%2F5\" = 288.\r\n" );
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document.write( "Then K = \"%282%2F3%29%2AM\" = \"%282%2F3%29%2A288\" = 192.\r\n" );
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document.write( "Check.  a)  288 + 192 = 480   ! Correct !\r\n" );
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document.write( "        b)  \"%281%2F2%29%2AK\" = \"%281%2F2%29%2A192\" = 96;   \r\n" );
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document.write( "            \"%281%2F3%29%2AM\" = \"%281%2F3%29%2A288\" = 96.  ! Correct !\r\n" );
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document.write( "Answer.  K = 192,  M = 288.\r\n" );
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