Question

1) The water park is a popular field trip dentalion. This year the semur class at I hxh School A and the semior clustat lligh School B both planned trip there. The hemor clades al llagh School A rented and filled S vans and 5 buses with 160 students. llisch School B rented and filled 10 vans and S buses with 25 students. Dach van and each bus carnied the same number or students. How many students can a van carry? Ikw many students can a bus carry! A) Van: 17. Bus: 15 B Vam 1 C) Van: 9. Bus: 30 Di Van: 5. Isus: 32

Answer 1

let

number of students in each van = x

number of students in each buses = y

Therefore,

For the school A

`5x+5y=160`

For the school B

`10x+5y=215`
`\begin{gathered} 5x+5y=160 \\ 10x+5y=215 \\ 5x=215-160 \\ 5x=55 \\ x=(55)/(5) \\ x=11 \\ \\ 5(11)+5y=160 \\ 55+5y=160 \\ 5y=160-55 \\ 5y=105 \\ y=(105)/(5) \\ y=21 \end{gathered}`

A Van can carry 11 students

A bus can carry 21 students