Question posted by Mike from Singapore:
Grade/Level: 4th Grade
Question solved by Model Method: 1/3 of the mass of Mr Raj is equal to 3/4 of the mass of Teddy. Their total mass is 80kg. Find Teddy's mass. (Use comparison model with fractions)
Answer:
Step 1: This question involves the Equal Concept. First, we draw 3 boxes to represent the total mass(3/3) of Mr Raj.
Step 2: Next, draw 3 boxes below the model of Mr Raj to represent the part of Teddy's mass that is equal to 1/3 of Mr Raj, i.e., 3/4 of Teddy.
Step 3: Since the first 3 boxes of Teddy's model drawn represents 3/4 of Teddy's mass, we will need to draw another 1 box to its right to represent the remaining 1/4 of Teddy's mass.
Step 4: Then, we draw a bracket to the right of the models to denote the total mass of both of them which is 80 kg.
Step 5: We then divide all the unknown units into equal parts to facilitate our calculations.
From the model,
13 units ---------> 80kg
1 unit ---------> 80kg / 13 = 6 2/13kg
4 units ---------> 4 x 6 2/13kg = 24 8/13kg
Therefore, Teddy's mass is 24 8/13kg.
Go To Top - Model Method - Questions and Answers
If you want us to send you our future Modelmatics eZine that would inform you on the latest article in Teach Kids Math By Model Method, do an easy sign-up below. Subscription is FREE!