document.write( "Question 329639: The ratio of men to women at a certain company is 5 to 7. How many male employees does the company have if there are 204 employees?
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Algebra.Com's Answer #236297 by jim_thompson5910(35256)\"\" \"About 
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Let x = number of male employees and y = number of female employees\r
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\n" ); document.write( "\n" ); document.write( "So because \"there are 204 employees\", this means that \"x%2By=204\". Solve for y to get \"y=204-x\"\r
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\n" ); document.write( "\n" ); document.write( "Also, since \"The ratio of men to women at a certain company is 5 to 7\", this means that \"5%2F7=x%2Fy\" (basically the ratio of 'x' men to 'y' women is 5 to 7)\r
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\n" ); document.write( "\n" ); document.write( "\"5%2F7=x%2Fy\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"5%2F7=x%2F%28204-x%29\" Plug in \"y=204-x\"\r
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\n" ); document.write( "\n" ); document.write( "\"5%28204-x%29=7x\" Cross multiply\r
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\n" ); document.write( "\n" ); document.write( "\"1020-5x=7x\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"-5x=7x-1020\" Subtract \"1020\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"-5x-7x=-1020\" Subtract \"7x\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"-12x=-1020\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"x=%28-1020%29%2F%28-12%29\" Divide both sides by \"-12\" to isolate \"x\".\r
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\n" ); document.write( "\n" ); document.write( "\"x=85\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the solution is \"x=85\" \r
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\n" ); document.write( "\n" ); document.write( "So this means that the company has 85 male employees.
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