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vichka [17]
2 years ago
5

The high school took two field trips to the Newport Aquarium many many years ago. They used school buses and vans to transport a

ll the students. On the first trip there were 3 vans and two buses with 122 students. The second trip was more popular, with 5 vans and 3 buses, carrying 189 students. Use a system of equations to determine the number of students that a van and a bus can carry
`
Mathematics
1 answer:
il63 [147K]2 years ago
5 0

Answer:

bus = 43

van 12

Step-by-step explanation:

This can be solved using simultaneous equations

Let v represent the number of students that a van carries

Let b represent the number of students that a bus carries

the following equations can be derived from the question

3v + 2b = 122 eqn 1

5v + 3b = 189  eqn 2

Multiply eqn 1 by 5 and eqn 2 by 3

15v + 10b = 610  eqn 3

15v + 9b = 567 eqn 4

Subtract equation 4 from 3

b = 43

Substitute for b in equation 1

3v + 2(43) = 122

solve for v

v = 12

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