Question

A Group of students are going on field trip. The transportation will include vans, which can hold 7 students each, and buses which can hold 25 students each, the school has five more vans than buses. If 127 students and 4 teachers are going on the trip, how many vans and buses will be used? steps, equation, anything to help.

Answer 1

@Myammecutie are you here?

Answer 2

yes

Answer 3

Let there be V no. of vans and b no. of buses.
Do you have relation between no. of both?

Answer 4

there is five more vans than buses

Answer 5

so how B and V are related?
Could you write an expression for that in terms of B and V ?

Answer 6

i need an equation but its not coming to me

Answer 7

5 more van than buses
so
\[V=B+5\]
do you get this?

Answer 8

yes

Answer 9

Now how many people are there totally?
students+teachers

Answer 10

131

Answer 11

It's given in the question that a bus can hold 25 students
and a van can hold 7 students each, so could you write an equation?
hint= no. of people in bus+ van =131

Answer 12

sooo
131=V7+B5

Answer 13

yes
\[7V+5B=131\]
and we had found an equation earlier
\[V=5+B\]
could you solve both of these equations to find V and B?

Answer 14

no im confused

Answer 15

which part you didn't get?

Answer 16

the equations i dont understand how to solve for two variables

Answer 17

we have one equation
V=B+5
and another
7V+25B=131
put V from first into second
\[7(B+5)+25B=131\]
\[7B+35+25B=131\]
Can you find B from here?

Answer 18

yes

Answer 19

i got 3

Answer 20

buses

Answer 21

right:D now could you find V?

Answer 22

its 8

Answer 23

Good:D
so did you understand?

Answer 24

Yes :)) thank you

Answer 25

welcome:)