Answer:
191 people do not have a briefcase.
Step-by-step explanation:
Given:
On a subway 8 out of 11 people are carrying a briefcase.
If there are 700 people on the subway.
Now, find the people do not have a briefcase.
As given, 8 out of 11 are carrying a briefcase.
So, if there are 700 people on the subway.
Using the above information we need to get the number of people carrying briefcase.
Let the number of people carrying briefcase be [tex]x.[/tex]
So, 8 is equivalent to 11.
And, [tex]x[/tex] is equivalent to 700.
Now, to solve by using cross multiplication method:
[tex]\frac{8}{11} =\frac{x}{700}[/tex]
By cross multiplying we get:
[tex]5600=11x[/tex]
Dividing both sides by 11 we get:
[tex]509.09=x[/tex]
Approximately, [tex]x=509.[/tex]
Thus, 509 out of 700 people are carrying briefcase.
Now, to get the people not carrying briefcase we subtract 509 from 700:
[tex]700-509[/tex]
[tex]=191.[/tex]
Therefore, 191 people do not have a briefcase.