document.write( "Question 1201242: Owen and Liam have some gold notebooks and some silver notebooks. The number of silver notebooks Owen has is equal to the number of gold notebooks Liam has. 3/4 of Owen's notebooks are gold and 1/3 of Liam's notebooks are silver. There are a total of 96 gold notebooks. Find the total number of notebooks they have. \n" ); document.write( "

Algebra.Com's Answer #835535 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "Owen and Liam have some gold notebooks and some silver notebooks.
\n" ); document.write( "The number of silver notebooks Owen has is equal to the number of gold notebooks Liam has.
\n" ); document.write( "3/4 of Owen's notebooks are gold and 1/3 of Liam's notebooks are silver.
\n" ); document.write( "There are a total of 96 gold notebooks. Find the total number of notebooks they have.
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document.write( "Let x be the number of silver   notebooks that Owen has\r\n" );
document.write( "and      the number of gold     notebooks that Liam has  (the same number).\r\n" );
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document.write( "Make this table based on the given info.\r\n" );
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document.write( "             Gold    Silver\r\n" );
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document.write( "    Owen                x\r\n" );
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document.write( "    Liam       x       \r\n" );
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document.write( "Since 3/4 of the Owen's notebooks are gold, their number is 3x.  So, your table becomes\r\n" );
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document.write( "             Gold    Silver\r\n" );
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document.write( "    Owen      3x        x\r\n" );
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document.write( "    Liam       x       \r\n" );
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document.write( "Since 1/3 of Liam's notebooks are silver, their number is x/2.  So, your table becomes\r\n" );
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document.write( "             Gold    Silver\r\n" );
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document.write( "    Owen      3x        x\r\n" );
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document.write( "    Liam       x       x/2\r\n" );
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document.write( "You are given that the total number of gold notebooks is 96:  3x + x = 96,  or  4x = 96,  x = 96/4 = 24.\r\n" );
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document.write( "Hence, the total number of notebooks they have is  96 + x + x/2 = 96 + 24 + 12 = 132.\r\n" );
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document.write( "ANSWER.  The total number of notebooks they have is 132.\r\n" );
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