A bus makes a stop 2:30 letting off 13 people and lettng on 8. The bus makes another stop ten minutes later to let off 3 more people. How does the number of people on the bus after the second stol compare to the number pf people on the bus before the 2:30 stop??

Answer:

The number of people on the bus after the second stop is 8 less than the number of peoples on the bus before the 2:30 stop.

Step-by-step explanation:

Let [tex]P_0[/tex] be the total number of peoples on the bus before 2:30 stop.

For the first stop at 2:30:

The bus let off 13 people, so, the total number of remaining people on the bus [tex]= P_0-13[/tex]

again, the bus let on 8 people,  so, the total number of people on the bus

[tex]= P_0-13+8[/tex]

[tex]=P_0-5[/tex]

For the second stop after 10 minutes (i.e at 2:40):

The bus let off 3 people, so, the total number of remaining people on the bus [tex]= P_0-5-3[/tex]

[tex]=P_0-8[/tex]

After the second stop, the number of people on the bus is [tex]P_0-8[/tex], where P_0 number of peoples on the bus before 2:30 stop.

Hence, the number of people on the bus after the second stop is 8 less than the number of peoples on the bus before the 2:30 stop.

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