## Q&A - PSLE Math

- caroline3sg
- BlackBelt
**Posts:**982**Joined:**Mon May 26,**Total Likes:**1

- caroline3sg
- BlackBelt
**Posts:**982**Joined:**Mon May 26,**Total Likes:**1

Hi EmelynEmelyn wrote:I mean in the model, you drew Ali and Billy having the same number of cards.

This is quite an interesting question; have yet to come across one from past years papers.The more common type involves transfers between two parties.

The first scenario is Billy giving to Ali.

Ali has 196 cards and Billy has 140 cards. If Billy gives 28 cards to Ali, he will have 112 cards and Ali, 224 cards. Therefore, Ali has twice as much as Billy.

The second scenario is Caven giving 84 cards to Billy. Caven has 308 cards at first (196+112).Billy has 140 cards. After receiving 84 cards from Caven, he’ll have 224 cards. After giving away 84 cards, Caven will have 224 cards, which is equal to that of Billy.

I think you are wondering why Billy’s 224 cards(after receiving 84 cards from Caven) is equal to that of Ali (after receiving 28 from Billy).This refers to the after events of two different scenarios.This is also the important first step to the solution,where you get your one unit equals to 112 ( 84+28 )

Hope it’s of some help to you.

Question:

Elynn, Fiona and Greg had a total of 336 cards. First Elynn gave Fiona as many cards as Fiona had. Then Fiona gave Greg as many cards as Greg had, and finally Greg gave Elynn as many cards as Elynn had left. In the end, all of them had the same number of cards. How many cards did Elynn have at first?

Not sure whether this is correct or not, base on my working (model method), Elynn had 154 cards at first.small wrote:Thank you for your time.

Question:

Elynn, Fiona and Greg had a total of 336 cards. First Elynn gave Fiona as many cards as Fiona had. Then Fiona gave Greg as many cards as Greg had, and finally Greg gave Elynn as many cards as Elynn had left. In the end, all of them had the same number of cards. How many cards did Elynn have at first?