it is 6.09 pm the movie starts at 6:30 pm. while standing in the line for the movie, you count 146 people in front of you. nine people buy their tickets in 70 seconds. will you be able to buy your ticket before the movie starts?

Respuesta :

Answer:You can buy a ticket.

Step-by-step explanation:

It is given that [tex]9[/tex] people bought tickets in [tex]70[/tex] seconds.

So,[tex]\frac{9}{70}[/tex] people can buy tickets in a second.

It is given that the current time is [tex]6:09pm[/tex] and movie starts at [tex]6:30pm[/tex].

So there is [tex]30-9=21minutes[/tex] until movie starts.

In [tex]21[/tex] minutes,the number of persons that can buy tickets are [tex]\frac{9}{70}\times 21\times 60=162[/tex].

So,[tex]162[/tex] people can buy tickets in [tex]21[/tex] minutes.

Since there are only [tex]146[/tex] people in front of you,you can buy a ticket.