The total number of wheels was 3024. How many trucks and cars there were, if the truck had 6 wheels

The total number of wheels was 3024. How many trucks and cars there were, if the truck had 6 wheels, and the passenger car had 4 wheels, and it is known that there were much less trucks, but there were no less than 30 trucks.

Since, according to the condition of the problem, there were at least thirty trucks, we assume that there were exactly 30 of them. Then:

1) 30 * 6 = 180 (wheels) – it was on trucks.

2) Let’s find how many wheels are left for cars:

3024 – 180 = 2844 (wheels) – wheels left.

3) Let’s check whether it is possible for all cars to have 2844 wheels, that is, is the number 2844 divisible by 4:

2844: 4 = 711 – divisible altogether, therefore there were 711 passenger cars.

Let’s check:

711 * 4 + 30 * 6 = 2844 + 180 = 3024.

All the conditions of the problem were fulfilled. This means there were 30 trucks and 711 cars.

Answer: 30 trucks and 711 cars.