document.write( "Question 681902: There are 100 people in a room, including only teachers and students. They are trying to share 100 bags of sweets. As a result, each teacher has 3 bags of sweets where every 3 students share one bag of sweets. How many teachers and students are there? \n" ); document.write( "

Algebra.Com's Answer #422847 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!
There are 100 people in a room, including only teachers and students. They are trying to share 100 bags of sweets. As a result, each teacher has 3 bags of sweets where every 3 students share one bag of sweets. How many teachers and students are there?
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document.write( " Let t = the number of teachers\r\n" );
document.write( " Let s = the number of students\r\n" );
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document.write( "There are 100 people in the room, so one equation is \r\n" );
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document.write( " t + s = 100\r\n" );
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document.write( "each teacher gets a whopping 3 bags and each student gets only rd of a bag.\r\n" );
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document.write( "So the number of bags given to teachers is 3 times the number of teachers,\r\n" );
document.write( "or 3t bags\r\n" );
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document.write( "and\r\n" );
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document.write( "the number of bags given to students is  times the number of\r\n" );
document.write( "students, or s.\r\n" );
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document.write( "There are 100 bags, so the other equation is\r\n" );
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document.write( "3t + s = 100\r\n" );
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document.write( "So the system of equations is:\r\n" );
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document.write( "Can you solve that for t and s? If not post again\r\n" );
document.write( "asking how to do it.\r\n" );
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document.write( "Solution: 25 teachers hogging 75 bags and 75 poor students \r\n" );
document.write( "having to share the remaining 25 bags. 'Taint fair!\r\n" );
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document.write( "[Maybe the students are obese and the teachers are thin! lol]\r\n" );
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document.write( "Edwin

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