SOLUTION: 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

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 )
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= number of male employees; ;
=number of female employees; ;
=number of envelopes each male employee received;
=number of envelopes each female employee received;
;
and .
Since each female received more envelopes that each male,
we know that there are less females than males, so
and .
We are looking for two integers, and , that
are factors of ,
add up to , and
.
The factors of 40 are:
1, 2, 4, 5, 8, 10, 20, and 40.
The only solution is
.
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