01 Word Problem (Comparison involving 3 persons)

Kai Yee, Lalitha and Monica share a total of $963 among themselves. If Kai Yee has twice as much money as Lalitha; and Monica has $18 more than Kai Yee, how much money does Kai Yee have?
In a step-by-step approach, we are going to unpack each statement into the models. It is okay that we do not know the exact size of the bars at first. As we go along. we have to resize the bars. The models might not be accurate at first and it is okay to resize the models. This may help the weaker students. This point is brought up in the article at the Mathematics Educator

Kai Yee, Lalitha and Monica share a total of $963 among themselves.
Possible Questions to ask :  How many bars must we draw? How do I show $963 ?

If Kai Yee has twice as much money as Lalitha
Possible Questions to ask : Who has more , Kai Yee or Lalitha? How do I show “twice a much”? Who has 1 part? Who has 2 parts?

Monica has $18 more than Kai Yee,
Possible Questions to ask : Who has more, Monica or Kai Yee? How much more?

At this point, it seems that all the information has been presented in the Model. We have to prompt the students to look out for the “implied” information.

Possible questions to ask :”Can we solve the problem by just looking at the model? Is there any information that we can put in ? How are the bars of Monica and Lalitha related?”

That is all for now. I will leave it to you to solve the rest of the problem. Too lazy to continue:-) Hope you find this useful!

Leave a Reply

Your email address will not be published.