document.write( "Question 1044253: Joe,Amirah,Gastle and Sharifa had some lollipops .Joe had 5 lollipops less than 1/3 the total number of lollipops .Amirah had 36 lollipops more than 1/3 the total number of lollipops .Gastle had 1/5 the number of lollipops Joe had and Sharifa had 5lollipops less than Gastle .How many lollipops were there in total? \n" ); document.write( "

Algebra.Com's Answer #659716 by ikleyn(52814) $\"\"$ $\"About$

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\n" ); document.write( "Joe,Amirah,Gastle and Sharifa had some lollipops .Joe had 5 lollipops less than 1/3 the total number of lollipops.
\n" ); document.write( "Amirah had 36 lollipops more than 1/3 the total number of lollipops .Gastle had 1/5 the number of lollipops Joe had
\n" ); document.write( "and Sharifa had 5 lollipops less than Gastle. How many lollipops were there in total?
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document.write( "Let x be one third of the total number of lollipops.\r\n" );
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document.write( "Then Joe had x - 5 lollipops.\r\n" );
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document.write( "Then Amirah had x + 36 lollipops.\r\n" );
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document.write( "Gastle had  lollipops.\r\n" );
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document.write( "Sharifa had  lollilops.\r\n" );
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document.write( "The equation is:\r\n" );
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document.write( "Joe + Amira + Gastle + Sharifa = 3x,   or\r\n" );
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document.write( "(x-5) + (x+36) +  +  = 3x.\r\n" );
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document.write( "Multiply both sides by 5. You will get\r\n" );
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document.write( "5x - 25 + 5x + 180 + x-5 + x-5 - 25 = 15x,   or\r\n" );
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document.write( "12x + 120 = 15x,\r\n" );
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document.write( "3x = 120. \r\n" );
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document.write( "It is exactly what the problem is asking for.\r\n" );
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document.write( "Answer.  120 lollipops.\r\n" );
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