# Model Method - Questions and Answers

Question posted by Adwin from Singapore:

Question solved by Model Method: There were a total of 126 cars and motorcycles in a car park and there were 446 wheels together. How many motorcycles were there in the car park?

Step 1: First, let's assume all the vehicles in the car park are motorcycles. Each motorcycle would have 2 wheels. Draw a box to represent 1 motorcycle with 2 wheels.

Step 2: Draw an arrow to the right to show that this box is repeated 126 times (label "126" at the end of the arrow).

Step 3: Since all the vehicles have only 2 wheels.

126 vehicles X 2 wheels = 252 wheels

Thus, they have a total of 252 wheels (if they were all motorcycles).

Step 4: Since there are 446 wheels in reality, the extra wheels must belong to the cars (cars have 4 wheels instead of 2). So, let's draw another long box to the right to represent the extra wheels.

446 wheels - 252 wheels = 194 wheels

Hence, there are 194 "extra wheels".

Step 5: Since the wheels belong to the cars, each car should get 2 extra wheels each.

194 extra wheels / 2 extra wheels per car = 97 cars

126 vehicles - 97 cars = 29 motorcycles

Therefore, there are 29 motorcycles.

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