Question

Who could help me with this please and thank you

Answer 1

Answer:

x = number of students in each van = 16

y = number of students in each bus = 47

(bus, van) = (47, 16)

Step-by-step explanation:

Let

x = number of students in each van

y = number of students in each bus

This can be represented by the equation

7x + 6y = 394 (1)

3x + 12y = 612 (2)

Using elimination method

Multiply (1) by 2

14x + 12y = 788 (3)

3x + 12y = 612 (2)

Subtract (2) from (3) to eliminate y

14x - 3x = 788 - 612

11x = 176

x = 176/11

x = 16

Substitute x = 16 into (1)

7x + 6y = 394 (1)

7(16) + 6y = 394

112 + 6y = 394

6y = 394 - 112

6y = 282

y = 282/6

y = 47

x = number of students in each van = 16

y = number of students in each bus = 47

(bus, van) = (47, 16)