Question

Plzzzz help don’t understand plz explain

Answer 1

Let's say there are b students per bus and v students per van.

The two equations we have are

`6v + 8b = 202`

`12v + 10b = 284`

Doubling the first,

`12v + 16b = 404`

Subtracting,

`16b - 10 b = 404 - 284`

`6b = 120`

`b=20`

`6v=202 - 8b`

`v=(202 - 8(20))/6 = 42/6 = 7`

Answer: 7 per van, 20 per bus

Check:

`6(7) + 8(20) = 42 + 160 = 202 \quad\checkmark`

`12(7) + 10(20) = 84 + 200 =284 \quad\checkmark`