Question

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Answer 1

There are 8 students in each van and 22 students in each bus.

Step-by-step explanation:

Let,

x be the number of students in each van

y be the number of students in each bus

According to given statement;

8x+8y=240     Eqn 1

4x+y=54          Eqn 2

Multiplying Eqn 2 by 2

$2(4x+y=54)\\8x+2y=108\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 1

$(8x+8y)-(8x+2y)=240-108\\8x+8y-8x-2y=132\\6y=132$

Dividing both sides by 6

$\frac{6y}{6}=\frac{132}{6}\\y=22$

Putting y=22 in Eqn 2

$4x+22=54\\4x=54-22\\4x=32$

Dividing both sides by 4

$\frac{4x}{4}=\frac{32}{4}\\x=8$

There are 8 students in each van and 22 students in each bus.

Keywords: linear equation, elimination method

Learn more about elimination method at:

• brainly.com/question/12918501
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