# Question

Source: Angsana Primary

We manipulate models to solve this question. There is a limitation when I am writing out solutions as I cant show how i manipulate the models so I have drawn them out step-by-step, to show how the models should be manipulated. Please do PM me if you need further assistance!

This problem sum focuses on the concept of Model Manipulation.

We can see that Cheryl has 160 more stickers than Gareth at first and we know that she has to give 185 to Gareth. So, we will take the 160 from Cheryl and give it to Gareth first, and another 25 from Cheryl and give it to Gareth again. This shows that Cheryl has given 185.

Notice another ’25’ box drawn under the dotted box of Chery’s 25 on the 3rd step. This shows the corresponding value there. It means there should have been another ’25’ there as well, not including the 25 that is received Cheryl.

In the end, Gareth has 210 more that Cheryl. We also know that in the end Gareth had 3 times as many as Cheryl, that means that Gareth had 3 units while Cheryl only had 1 unit. That also means that Gareth had 2 units more than Cheryl in the end.

We can deduce that 2 units is also equivalent to 210..

Hence we can solve the above problem sum as seen in the solutions provided!

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