[P6] Problem Sum No. 7: Simon’s and Peter’s Cards

Simon and Peter had a total of 900 cards. Simon gave 1/5 of his cards to Peter. Peter then gave 1/4 of his cards to Simon. In the end, each of them had the same number of cards. How many cards did Simon have at first?

  • Asked by Dave Tan KX (of North Vista Primary School)
  • Date: 25 Feb 2016
  • Source: Nan Hua Primary, P6, CA1 2014

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At the NPS page, you can get snippets of info about No Problem Sums, give us your comments and suggestions, and also post your Maths questions. That’s what Dave Tan from North Vista Primary School did recently — this is his video question on FB.

My thanks to you, Dave; and here’s the answer to your problem sum…

If you are posting a video, like what Dave had done, ensure that text in the video is discernible.

Or you can just type away and also add a photo for any diagrams which accompany the Maths problem.

Dave’s problem is the classic type which immediately invokes the thought of using algebra to solve it. I’m not against doing this — in this case, simultaneous equations are involved.

However, let me show you the beauty and simplicity of drawing models. And in doing so give truer meaning to “a picture paints a thousand words” 🙂

Answer Sheet

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