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Anna11 [10]
3 years ago
5

A school is planning a field trip for 142 people. The trip will use 6 drivers and two types of vehicles:buses and vans. A bus ca

n 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
Mathematics
2 answers:
Fynjy0 [20]3 years ago
5 0
So 51+51=102 and then 10+10+10+10=40, and 102+40=142. So they will need to take 2 buses and 4 vans. 
                                             hope I helped
elixir [45]3 years ago
3 0

Answer:  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.,

b+v=6.

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

51b+10v=142.

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

51b+10(6-b)=142\\\\\Rightarrow 51b+60-10b=142\\\\\Rightarrow 41b=82\\\\\Rightarrow b=2.

Again, from the first equation, we get

v=6-2=4.

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


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