Question

385 Students go on a field trip. There are 19 vehicles, some vans and some buses.

7 students can fit in a van, and 25 students can fit in a bus.

how many vans and buses were there ?

Answer 1

• 14 buses and 5 vans

Explanation:

Let the number of buses be x and vans be y.

Equations as per given:

• x + y = 19
• 25x + 7y = 385

Substitute y and solve for x the second equation:

• y = 19 - x
• 25x + 7(19 - x) = 385
• 25x - 7x + 133 = 385
• 18x = 385 - 133
• 18x = 252
• x = 252/18
• x = 14

Then finding y:

• y = 19 - 14 = 5

The answer is 14 buses and 5 vans