Answer: [tex]Total\ number\ of\ people=70[/tex]
Step-by-step explanation:
For this exercise let "m" represents the total number of men at the meeting.
You know that the total number of people at the meeting represents de 100% of the people there.
According to the information given in the exercise, the number of men in the meeting representes the 40% of the people. So:
[tex]100\%-40\%=60\%[/tex]
As you can notice, 60% of the perople are women.
Then, knowing that the number of women is 42, you can set up the following proportion:
[tex]\frac{42}{60}=\frac{m}{40}[/tex]
Solve for "m" in orde to find its value:
[tex](40)(\frac{42}{60})=m\\\\m=28[/tex]
Therefore, the total number of people at the meeting is:
[tex]Total\ number\ of\ people=42+28=70[/tex]