On a subway 8 out of 11 people are carrying a briefcase. Based on this information, if there are 700 people on the subway, then about how many people do not have a briefcase?

Respuesta :

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.