Model Method - Questions and Answers

Question posted by Adwin from Singapore:

Grade/Level: Primary 4

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.

Go To Top - Model Method - Questions and Answers

Enjoy this page? Please pay it forward. Here's how...

Would you prefer to share this page with others by linking to it?

  1. Click on the HTML link code below.
  2. Copy and paste it, adding a note of your own, into your blog, a Web page, forums, a blog comment, your Facebook account, or anywhere that someone would find this page valuable.