document.write( "Question 858344: A company has 72 more female employees than male employees. If the company has a total of 180 employees, how many are female? \n" ); document.write( "
Algebra.Com's Answer #517182 by math-vortex(648)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Hi there,\r\n" );
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document.write( "THE PROBLEM:\r\n" );
document.write( "A company has 72 more female employees than male employees. If the company has a total of 180 \r\n" );
document.write( "employees, how many are female?\r\n" );
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document.write( "SOLUTION:\r\n" );
document.write( "I will show you a solution using one variable. It is also possible to solve this problem using two variables \r\n" );
document.write( "by writing a system of equations. Let me know if you would like to see that solution.\r\n" );
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document.write( "Let x be the number of female employees.\r\n" );
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document.write( "We need an expression for the number of male employees. Sometimes students have a hard time figuring \r\n" );
document.write( "out these types of expressions. I'll walk through the thinking process here.\r\n" );
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document.write( "We know that the total number of employees (male plus female) equals 180.\r\n" );
document.write( "We also know that there are 72 more female than male.\r\n" );
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document.write( "For example:\r\n" );
document.write( "If there are 80 female employees, there are 8 male employees because 80 is 72 more than 8.\r\n" );
document.write( "If there are 82 female employees, there are 10 male employees because 82 is 72 more than 10.\r\n" );
document.write( "If there are 102 female employees, there are 30 male employees because 102 is 72 more than 30.\r\n" );
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document.write( "Do you see the pattern here? \r\n" );
document.write( "Do you see that number of female employees minus 72 equals the number of male employees?\r\n" );
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document.write( "What if the number of female employees is x. Then the number of male employees is x minus 72, or x-72.\r\n" );
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document.write( "So the number of female employees is x.\r\n" );
document.write( "The number of male employees is x-72.\r\n" );
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document.write( "The sum of the female employees and the male employees is 180, or\r\n" );
document.write( "x + x - 72 = 180\r\n" );
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document.write( "Now solve for x. Combine like terms.\r\n" );
document.write( "2x - 72 = 180\r\n" );
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document.write( "Add 72 to both side of the equation.\r\n" );
document.write( "2x - 72 + 72 = 180 + 72\r\n" );
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document.write( "Combine like terms. (-72+72=0)\r\n" );
document.write( "2x = 252\r\n" );
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document.write( "Divide both sides by 2\r\n" );
document.write( "2x/2 = 252/2\r\n" );
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document.write( "Simplify. (2x/2=x)\r\n" );
document.write( "x = 126\r\n" );
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document.write( "In the context of this problem, x = 126 means that there are 126 female employees.\r\n" );
document.write( "Since there are x-72 male employees, we have 126-72 = 54 male employees.\r\n" );
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document.write( "Check your work.\r\n" );
document.write( "Do 126 female employees and 54 male employees total  180 employees?\r\n" );
document.write( "126 + 54 = 180 \r\n" );
document.write( "180 = 180 Check!\r\n" );
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document.write( "So the answer to your problem is: There are 126 female employees.\r\n" );
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document.write( "Hope this helps. If you have questions about the solution, feel free to email me.\r\n" );
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document.write( "Mrs. Figgy\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
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