Aschool is planning a field trip for 142 people. the trip will use 6 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 vans will be needed

 The answer is 2 buses and 4 vans.

Step-by-step explanation:  Let 'b' be the number of buses and 'v' be the number of vans that will be needed.

The trip will use 6 drivers, and we need one driver for each vehicle, so number of drivers is equal to the number of vehicles used.i.e.,

Now, number of passengers in buses is 51b and number of passengers in vans is 10v. Since there are total 142 people, so

Substituting the value of 'v' from forst equation in the second equation, we have

Again, from the first equation, we get

Thus, there are 2 buses and 4 vans in the trip.

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step-by-step explanation:

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step-by-step explanation if you write the statements down then i could you.