A school is planning a field trip for 142 people. The

trip will use six drivers and two types of vehicles: buses and vans. A bus can seat

51 passengers. A van can seat 10 passengers. Write and solve a system of

equations to find how many buses and how many vans will be needed.

An equation is written in the form ax + by + c=0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero.

Calculation for the number of bus and van required;

The total number of people for the trip are 142.

The total drivers are 6.

Let 'x' be the number of bus required for the trip.

Let 'y' be the number of van required for the trip.

So, total number of vehicle will be equal to number of drivers.

Thus, x + y = 6

Again, as one bus can carry maximum 51 passenger.

Total passenger carried by the all bus is 51x.

Similarly, one van can carry 10 passenger.

Total passenger carried by van is 10y.

Therefore, total number of passengers carried by both bus and van will be,

51x + 10y = 142

Solving both equation we get,

x = 2 and y = 4.

Therefore, the total number of bus need for trip are 2 and van needed are 4.

To know more about system of linear equations, here

https://brainly.com/question/24085666

#SPJ2

A school is planning a field trip for 142 people. Thetrip will use six drivers and two types of vehicles: buses and vans. A bus can seat51 passengers. A van can seat 10 passengers. Write and solve a system ofequations to find how many buses and how many vans will be needed.

Verified Answer :

What is linear equation in two variable?

Calculation for the number of bus and van required;

Related Questions

A school is planning a field trip for 142 people. The

trip will use six drivers and two types of vehicles: buses and vans. A bus can seat

51 passengers. A van can seat 10 passengers. Write and solve a system of

equations to find how many buses and how many vans will be needed.