Subjects algebra

Vehicles Count

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Vehicles Count


1. **State the problem:** There are 25 motorcycles, scooters, and cars in total, and together they have 68 wheels. We need to find how many cars there are. 2. **Define variables:** Let $m$ be the number of motorcycles and scooters combined (since both have 2 wheels each) and $c$ be the number of cars. 3. **Set up equations:** - Total vehicles: $$m + c = 25$$ - Total wheels: motorcycles and scooters have 2 wheels each, cars have 4 wheels, so: $$2m + 4c = 68$$ 4. **Solve the system:** From the first equation: $$m = 25 - c$$ Substitute into the second equation: $$2(25 - c) + 4c = 68$$ $$50 - 2c + 4c = 68$$ $$50 + 2c = 68$$ Subtract 50: $$2c = 18$$ Divide both sides by 2: $$c = 9$$ 5. **Final answer:** There are **9 cars** in the car park.