document.write( "Question 193650: Jim gave one-third of his jellybeans to Jack, ate two-thirds of the remainder, and had 12 left over. How many jellybeans did he have originally? \n" ); document.write( "
Algebra.Com's Answer #145348 by Edwin McCravy(20056)\"\" \"About 
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Edwin's solution:\r
\n" ); document.write( "\n" ); document.write( "Jim gave one-third of his jellybeans to Jack, ate two-thirds of
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document.write( "The 12 he had left over at the end was the other one-third of\r\n" );
document.write( "what he had before eating the two-thirds.  So 12 was 1/3 of \r\n" );
document.write( "those he had before starting eating.  So he had 3x12 or 36 before\r\n" );
document.write( "starting to eat.\r\n" );
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document.write( "So those 36 he had before starting eating was the other 2/3 of what\r\n" );
document.write( "he had before giving the one-third to Jack.  So since 1/3 is half\r\n" );
document.write( "of 2/3, then he gave Jack half of 36 or 18.  So before giving those\r\n" );
document.write( "18 to Jack, he must have had 36+18 or 54.\r\n" );
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document.write( "Now we check:\r\n" );
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document.write( "Jim gave one-third of his jellybeans to Jack, \r\n" );
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document.write( "So Jim started with 54 and gave 54*1/3 or 18 of them to Jack.\r\n" );
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document.write( "That means he only had 54-18 or 36 left.\r\n" );
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document.write( "Then Jim ate two-thirds of the remainder, \r\n" );
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document.write( "That means he ate 2/3 of 36 or 24.\r\n" );
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document.write( "So he had 36-24 or 12 left.\r\n" );
document.write( "  \r\n" );
document.write( "So 54 is the correct answer.\r\n" );
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document.write( "No algebra necessary!\r\n" );
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document.write( "Edwin
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