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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?

Respuesta :

absor201

Mindy's class will need 10 vans and 5 buses to transport everyone.

Step-by-step explanation:

No. of students = 150

Students each van can hold = 8

Students each bus can hold = 14

Number of drivers = 15

Let,

No. of vans = x

No. of buses = y

According to given statement;

x+y=15    Eqn 1

8x+14y=150    Eqn 2

Multiplying Eqn 1 by 8

[tex]8(x+y=15)\\8x+8y=120\ \ \ Eqn\ 3\\[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](8x+14y)-(8x+8y)=150-120\\8x+14y-8x-8y=30\\6y=30[/tex]

Dividing both sides by 6

[tex]\frac{6y}{6}=\frac{30}{6}\\y=5[/tex]

Putting in Eqn 1

[tex]x+5=15\\x=15-5\\x=10[/tex]

Mindy's class will need 10 vans and 5 buses to transport everyone.

Keywords: linear equations, subtraction

Learn more about linear equations at:

  • brainly.com/question/5022643
  • brainly.com/question/4853862

#LearnwithBrainly

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