Answer: There are approximately 191 people that do not have a briefcase.
Step-by-step explanation:
Since we have given that
8 out of 11 people are carrying a briefcase.
Then fraction of people carrying a briefcase = [tex]\dfrac{8}{11}[/tex]
Fraction of people do not have a briefcase = [tex]1-\dfrac{8}{11}=\dfrac{11-8}{11}=\dfrac{3}{11}[/tex]
Similarly, if there are 700 people on a subway, then we will find the number of people do not having a briefcase.
Since there is a direct variation,
[tex]\dfrac{3}{11}=\dfrac{x}{700}\\\\\\x=\dfrac{700\times 3}{11}\\\\\\x=190.90\\\\\\x\approx 191[/tex]
Hence, there are approximately 191 people that do not have a briefcase.
