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*URGENT* PLEASE HELP

Mindy's high school class has a total of 150 students and they are planning a field trip. Each van can seat 8 students and each bus can sit 14 students. There are only 15 drivers, so the total number of vehicles they can take must be 15. How many of each vehicle will Mindy's class need to transport everyone?


IM REASKING BECAUSE ITS IMPORTANT PLEASE HELP

Respuesta :

godispunishingme
create 2 eq’n, let V = vans and B= buses

1. 150 = 8v + 14b
2. b + v = 15

isolate one variable and substitute it in to an equation:

b = 15 - v

sub “b” into first equation above:

150 = 8v + 14 ( 15 - v)
150 = 8v + 210 - 14v
-60 = -6v
10 = v

sub “v” into equation 2

b = 15 - v
b = 15 - (10)
b= 5

there will be 5 buses and 10 vans to hold 150 students.

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