Question

The senior classes at High school A and High school B planned separate trips to New York city. The senior class at high school A rented and filled 1 van and 6 buses with 372 students, High school B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. how many students can a van carry? How many students can a bus carry?

Answer 1

Each van carried 18 students and each bus carried 59 students.

Step-by-step explanation:

Let,

students carried by one van = x

students carried by one bus = y

According to given statement;

x+6y=372   Eqn 1

4x+12y=780   Eqn 2

Multiplying Eqn 1 by 4

$4(x+6y=372)\\4x+24y=1488\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(4x+24y)-(4x+12y)=1488-780\\4x+24y-4x-12y=708\\12y=708$

Dividing both sides by 12

$\frac{12y}{12}=\frac{708}{12}\\y=59$

Putting y=59 in Eqn 1

$x+6(59)=372\\x+354=372\\x=372-354\\x=18$

Each van carried 18 students and each bus carried 59 students.

Keywords: Linear equations, subtraction

Learn more about linear equations at:

• brainly.com/question/10941043
• brainly.com/question/10978510

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