document.write( "Question 164821: I can't wrap my brain around this word problem.
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document.write( "Layoffs. 10% of the employees in the aerospace division will be laid off and 15% of the employees in the agriculture division will be laid off. Altogether 12% of 3000 employees in these two divisions will be laid off. How many employees are in each division?
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document.write( "12% of 3000= 360\r
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document.write( "10%=10/100=.10
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document.write( "15%=15/100=.15 \n" );
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Algebra.Com's Answer #121461 by stanbon(75887) ![]() You can put this solution on YOUR website! I can't wrap my brain around this word problem. \n" ); document.write( "Layoffs. 10% of the employees in the aerospace division will be laid off and 15% of the employees in the agriculture division will be laid off. Altogether 12% of 3000 employees in these two divisions will be laid off. How many employees are in each division? \n" ); document.write( "---------------- \n" ); document.write( "Quantity Equation: s + a = 3000 \n" ); document.write( "Percentage Equatio: 0.10s + 0.15a = 0.12*3000 \n" ); document.write( "--------------------------------- \n" ); document.write( "Rearrange the equations for elimination: \n" ); document.write( "10s + 10a = 30000 \n" ); document.write( "10s + 15a = 12*3000 \n" ); document.write( "---------------- \n" ); document.write( "Subtract the 1st from the 2nd to get: \n" ); document.write( "5a = 6000 \n" ); document.write( "a = 1200 (# of agriculture division layoffs) \n" ); document.write( "s = 1800 (# of aerospace division layoffs) \n" ); document.write( "====================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |