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    Q&A - P3 Math

    Scheduled Pinned Locked Moved Primary 3
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    • O Offline
      Ogima
      last edited by

      hello comrades,


      need your help to solve the following P4 Maths without using ALGEBRA. :?:

      detailed explanation much needed. thanks.

      Q35) May had 60 more apples than June. After June gave 1/3 of her apples away, May had twice as many apples as June.

      How many apples did they both have at first ?

      1 Reply Last reply Reply Quote 0
      • E Offline
        elkniwt
        last edited by

        Ogima:
        hello comrades,


        need your help to solve the following P4 Maths without using ALGEBRA. :?:

        detailed explanation much needed. thanks.

        Q35) May had 60 more apples than June. After June gave 1/3 of her apples away, May had twice as many apples as June.

        How many apples did they both have at first ?
        It will be easier to see if you draw model. (I am not good at creating nice pictures, so let me try to explain the \"model\" I drew.)

        May [----][----][----][----]
        {indicate the last unit}<60>
        June [----][----][////]

        (the last unit for June is the given away part)
        Each unit should be drawn same size.

        From model, 1 unit = 60
        May has 4 x 60 = 240
        June has 3 x 60 = 180 initially

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        • J Offline
          john.09525316
          last edited by

          Ogima:
          hello comrades,


          need your help to solve the following P4 Maths without using ALGEBRA. :?:

          detailed explanation much needed. thanks.

          Q35) May had 60 more apples than June. After June gave 1/3 of her apples away, May had twice as many apples as June.

          How many apples did they both have at first ?

          Let me try, please note it is not drawn in scale

          a)assume June has 3 units, therefore May has 3 units +60

          May has 3 unit + 60 more [ ][ ][ ][ 60 more ]
          June has 3 unit [ ][ ][ ]


          b) May gave away 1/3, that mean is 1 unit, hence the model became

          May [ ][ ][ ][ 60 more ]
          June [ ][ ]

          May has twice as many apples as June, hence

          [1 st Half ] [2nd half ]
          ------------- -----------------
          May [ ][ ] [ ][ 60 more]
          June [ ][ ]


          c) Let look at the half of it

          May [ ][ 60 more ]
          June [ ][ ]


          Canceal 1 unit, the other unit is equal to 60, therefore

          June has 60+60+60+60 = 240
          May has 60+60+60 = 180

          Total = 240+180 = 420 apples

          They have total of 420 apples

          I hope the above is able to help you.

          Cheer!

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          • A Offline
            Anxiousmom
            last edited by

            //Moderator's note: Topics merged.


            Can anyone help to solve this qn? tks.

            Matthew and Paul have a sum of money at first. If Matthew gives Paul $80, he will have twice as much as Paul. If Matthew gives Paul $20, he will have thrice as much as Paul. How much money did Matthew have at first?

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            • T Offline
              Tang
              last edited by

              Anxiousmom:
              //Moderator's note: Topics merged.


              Can anyone help to solve this qn? tks.

              Matthew and Paul have a sum of money at first. If Matthew gives Paul $80, he will have twice as much as Paul. If Matthew gives Paul $20, he will have thrice as much as Paul. How much money did Matthew have at first?

              Amended

              [....][.....80.....][....][.....80......] = 2 big units
              [....][.....80.....] = 1 big unit


              [....][20][.60.][....][20][.60.][.60.] = 3 units
              [....][20] = 1 unit

              1u = 3 x 60 = 180

              3u = 3 x 180 = 540

              Matthew = 540 + 20 = $560

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              • E Offline
                elkniwt
                last edited by

                Anxiousmom:
                //Moderator's note: Topics merged.


                Can anyone help to solve this qn? tks.

                Matthew and Paul have a sum of money at first. If Matthew gives Paul $80, he will have twice as much as Paul. If Matthew gives Paul $20, he will have thrice as much as Paul. How much money did Matthew have at first?
                Hi Anxiousmom,

                I drew the models for both parts :

                M [--------][--------][-80-]
                P [-][-80-]

                (note : [-][-80-] is same length as [-------])

                M [------][------][------][20]
                P [-][20]

                (note : [-][20] same length as [-----], and the length for M for both models are the same)

                Based on the models,

                3(p+20) + 20 = 2 (p+80) + 80
                p = 160
                m = 2x(160+80) + 80 = 560

                Matthew has $560 initially.

                (but sorry, my soln seems a bit \"algebraic\", maybe someone can suggest a more \"modelic\" soln :lol: )

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                • A Offline
                  Anxiousmom
                  last edited by

                  Hi Hi

                  Tks to Tang and elkniwt for your solutions. Hopefully my dau can absorb.

                  1 Reply Last reply Reply Quote 0
                  • D Offline
                    Dharma
                    last edited by

                    Anxiousmom:
                    Hi Hi

                    Tks to Tang and elkniwt for your solutions. Hopefully my dau can absorb.
                    If Matthew gives Paul $80

                    Amt of money at first :
                    Matthew : 2units + $80
                    Paul : 1unit - $80

                    If Matthew gives Paul $20

                    Amt of money at last :
                    Matthew : 2units + $80 - $20 = 3parts
                    Paul : (1units - $80) + $20 = 1parts

                    3parts = 2units +$60 (Matthew)
                    1part = 1unit - $60 (Paul)
                    3 parts = 3 units - $180

                    2units + $60 = 3units - $180
                    1units = $240

                    Amt of money Matthew had first = 2($240) + $80 = $560

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                    • D Offline
                      Daddy
                      last edited by

                      Hi,


                      I have a math question need help?

                      \"Mrs Wong was short of $42 if she bought 5 similiar vases. So she bought 3 such vases and has $12 left. What was the cost of each vase?\"

                      Thankss.
                      Daddy :?

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                      • R Offline
                        radiantmum
                        last edited by

                        Cost of each vase = $27


                        You need some other kind soul to show you how to solve via model mtd. I just itchy hand solving here :lol:

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