Question

Help solving this problem, the second problem not the third

Answer 1

Given:

1 Van and 4 buses filled with 195 students.

1 Van and 5 buses filled with 241 students.

Let x and y be the number of students in Van and number of students in bus.

$\begin{gathered} x+4y=195\ldots\text{ (1)} \\ x+5y=241\ldots\text{ (2)} \end{gathered}$

Subtract equation (1) from equation (2)

$\begin{gathered} x+5y-x-4y=241-195 \\ y=46 \end{gathered}$

Substitute y=46 in equation (1)

$\begin{gathered} x+4(46)=195 \\ x+184=195 \\ x=195-184 \\ x=11 \end{gathered}$

Number of students that van can carry is 11.

Number of students that bus can carry is 46