document.write( "Question 942425: A supply officer distributes 80 business envelops among 13 employees, giving half the number to the female employees and the other half to the male employees. Each female employee received 3 more than each male. How many male employees are there? ( answer is 8 - show your solution ) \n" ); document.write( "

Algebra.Com's Answer #574562 by KMST(5328) $\"\"$ $\"About$

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$\"m\"$ = number of male employees; $\"1%3C=m%3C=13\"$ ;
\n" ); document.write( " $\"f\"$ =number of female employees; $\"1%3C=f%3C=13\"$ ;
\n" ); document.write( " $\"x\"$ =number of envelopes each male employee received;
\n" ); document.write( " $\"x%2B3\"$ =number of envelopes each female employee received;
\n" ); document.write( " $\"f%2Bm=13\"$ ;
\n" ); document.write( " $\"m%2Ax=80%2F2=40\"$ and $\"f%2A%28x%2B3%29=40\"$ .
\n" ); document.write( "Since each female received more envelopes that each male,
\n" ); document.write( "we know that there are less females than males, so
\n" ); document.write( " $\"f%3C13%2F2=6.5\"$ and $\"m%3E13%2F2=6.5\"$ .
\n" ); document.write( "We are looking for two integers, $\"f\"$ and $\"m\"$ , that
\n" ); document.write( "are factors of $\"40\"$ ,
\n" ); document.write( "add up to $\"13\"$ , and
\n" ); document.write( " $\"1%3C=f%3C6.5%3Cm%3C=13\"$ .
\n" ); document.write( "The factors of 40 are:
\n" ); document.write( "1, 2, 4, 5, 8, 10, 20, and 40.
\n" ); document.write( "The only solution is
\n" ); document.write( " $\"system%28f=5%2Cm=8%29\"$ . \n" ); document.write( "

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