School A rented and filled 5 vans and 9 buses with 499 students. School B rented and filled 10 vans and 9 buses with 539 students. How many students can a bus carry?

Given:

School A rented and filled 5 vans and 9 buses with 499 students.

School B rented and filled 10 vans and 9 buses with 539 students.

To find:

The number of student a bus can carry.

Solution:

Let x be the number of student a van can carry and y be the number of student a bus can carry.

School A rented and filled 5 vans and 9 buses with 499 students.

        ...(i)

School B rented and filled 10 vans and 9 buses with 539 students.

       ...(ii)

Subtract (i) from (ii).

Putting x=8 in (i), we get

Divide both sides by 9.

Therefore, a bus can carry 51 students.

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

answer: the answer is e

step-by-step explanation: