School Trip to an Amusement Park

Question

A group of 224 kids went on a school trip to an amusement park. They traveled in cars and vans, with four kids in a car and five kids in a van. In total, there were 48 vehicles. How many kids traveled by car?

Answer 1

Well if c is the number of cars and v the number of vans

4c + 5v = 224 (1)

c + v = 48 (2)

4c +4v = 192 (3) = 4(2)

v = 224 - 192 = 32 (1) - (3)

c = 48 - 32 = 16

Check 4 x 16 + 5 x 32 = 64 + 160 = 224