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    Q&A - P5 Math

    Scheduled Pinned Locked Moved Primary 5
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    • MathIzzzFunM Offline
      MathIzzzFun
      last edited by

      smartmummy:
      MathIzzzFun:

      [quote=\"smartmummy\"]Pls help the following qns - no urgent.Thanks


      Q4) There were 20 more pears than plums at a fruit stall.After 1/5 of the pears and 3/10 of the plums were sold, there were 46 pears and plums left.How many plums were left over.

      TIA.

      Plums --> 20 units
      Pears --> 20 units + 20

      Left:
      Plums --> 7/10 x 20 units = 14 units
      Pears --> 4/5 x (20 units + 20) = 16 units + 16

      Total of 46 pears and plums left, so

      14 units + 16 units + 16 = 46
      1 unit --> 1

      Plums left --> 14

      cheers.

      :thankyou: so much for ur help. Appreciate much!!
      Why plums---> 20 units, can we assume plums--->10 units, do we find common multiple of 5 & 10?Thanks[/quote]yes, you can assume 10 units... I chose 20 units for easier calculation as there are 20 more pears.

      cheers.

      1 Reply Last reply Reply Quote 0
      • S Offline
        smartmummy
        last edited by

        MathIzzzFun:
        smartmummy:

        Pls help the following qns - no urgent.Thanks



        Q2)The ratio of the number of girls to the number of boys taking part in a swimming assessment was 6:5.The assessment showed that the ratio of the number of girls' swimmers to the number of girls' non-swimmers was 5:2.The ratio of the number of boys' swimmers to the number of boys' non-swimmers was 3:2.
        a)What fraction of the children were non-swimmers?
        b)If there were 30 more boys' non-swimmers than girls' non-swimmers how many swimmers were there altogether?

        TIA.

        Total girls : boys = 6 : 5 --> 42u : 35u --- total --> 77u
        Boys' swimmers : Boys' non-swimmers = 3 : 2 --> 21u : 14u

        Girls' swimmers : Girls's non-swimmers = 5 : 2 --> 30u : 12u

        Total number of non-swimmers = 14u + 12u = 26u
        a) fraction of the children who are non-swimmers = 26/77

        Total number of swimmers --> 21u + 30u = 51u
        Boys' non-swimmer --> 14u
        Girls' non-swimmer --> 12u
        2u --> 30, 1u --> 15

        Total number of swimmers --> 51 x 15 = 765

        cheers.

        How to find 42u : 35u --- total --> 77u,guess and check for G=G.swimmers + G.non swimmers, B=B.swimmers +B.non swimmers, or any short-cut? :thankyou:

        1 Reply Last reply Reply Quote 0
        • MathIzzzFunM Offline
          MathIzzzFun
          last edited by

          smartmummy:
          MathIzzzFun:

          [quote=\"smartmummy\"]Pls help the following qns - no urgent.Thanks



          Q2)The ratio of the number of girls to the number of boys taking part in a swimming assessment was 6:5.The assessment showed that the ratio of the number of girls' swimmers to the number of girls' non-swimmers was 5:2.The ratio of the number of boys' swimmers to the number of boys' non-swimmers was 3:2.
          a)What fraction of the children were non-swimmers?
          b)If there were 30 more boys' non-swimmers than girls' non-swimmers how many swimmers were there altogether?

          TIA.

          Total girls : boys = 6 : 5 --> 42u : 35u --- total --> 77u
          Boys' swimmers : Boys' non-swimmers = 3 : 2 --> 21u : 14u

          Girls' swimmers : Girls's non-swimmers = 5 : 2 --> 30u : 12u

          Total number of non-swimmers = 14u + 12u = 26u
          a) fraction of the children who are non-swimmers = 26/77

          Total number of swimmers --> 21u + 30u = 51u
          Boys' non-swimmer --> 14u
          Girls' non-swimmer --> 12u
          2u --> 30, 1u --> 15

          Total number of swimmers --> 51 x 15 = 765

          cheers.

          How to find 42u : 35u --- total --> 77u,guess and check for G=G.swimmers + G.non swimmers, B=B.swimmers +B.non swimmers, or any short-cut? :thankyou:[/quote]G.swimmers + G.non-swimmers = 7, so total number of girls is a multiple of 7

          since total number of girls : total number of boys = 6:5
          we multiply by 7 to get --> 42 : 35

          cheers.

          1 Reply Last reply Reply Quote 0
          • S Offline
            smartmummy
            last edited by

            OIC,got it.Thanks MathIzzzFun for your explanation,solution and time.

            1 Reply Last reply Reply Quote 0
            • C Offline
              chloecube
              last edited by

              MathIzzzFun:
              chloecube:

              Siti knitted 1 2/5m of a scarf,on Monday,she knitted 1/4 of the length.on Tuesday, she knitted 45cm more. What fraction of the scarf was knitted altogether?


              answer is 4/7.

              anyone can help? Thks

              1 2/5 m = 1.4m = 140 cm
              1/4 of 140 cm = 35 cm
              Total knitted = 35 cm + 45 cm = 80 cm

              Fraction of scarf knitted --> 80/140 = 4/7

              cheers.

              thank you
              i mis-read the sentence as she did 45cm more on tue than monday

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

                pls help




                (1)\tW and R collect stamps. If R gives W 15 stamps, he will have the same number of stamps as W. If W gives R 15 stamps, he will have ½ as many stamps as R. How many stamps does each of them have?


                (2)\tIn April A,B C and D had a total of $324. In May , the savings of the 4 girls became equal when A’s savings was doubled, B’s savings was reduced by $4, C’s saving remained unchanged and D’s savings was increased by $9. What was B’s and D’s savings in April?

                1 Reply Last reply Reply Quote 0
                • 2 Offline
                  2Transformer
                  last edited by

                  I need your help to solve this question.



                  Question:

                  The ratio of the number of library books in School ABC to the number of library books in School XYZ was 5:4. When 1424 books from School ABC were loaned to School XYZ, the ratio of the number of books in School ABC to the number of books in School XYZ became 13:14.

                  (a) What fraction of the books in School ABC was loaned to School XYZ ?
                  (b) How many books were there in School XYZ at first?

                  1 Reply Last reply Reply Quote 0
                  • S Offline
                    smartmummy
                    last edited by

                    2Transformer:
                    I need your help to solve this question.



                    Question:

                    The ratio of the number of library books in School ABC to the number of library books in School XYZ was 5:4. When 1424 books from School ABC were loaned to School XYZ, the ratio of the number of books in School ABC to the number of books in School XYZ became 13:14.

                    (a) What fraction of the books in School ABC was loaned to School XYZ ?
                    (b) How many books were there in School XYZ at first?
                    ABC:XYZ
                    Before
                    5:4
                    15:12
                    After
                    13:14
                    a) 2/15 (15-13=2)
                    b)1424/2=712
                    12*712=8544

                    1 Reply Last reply Reply Quote 0
                    • 2 Offline
                      2Transformer
                      last edited by

                      smartmummy:
                      2Transformer:

                      I need your help to solve this question.



                      Question:

                      The ratio of the number of library books in School ABC to the number of library books in School XYZ was 5:4. When 1424 books from School ABC were loaned to School XYZ, the ratio of the number of books in School ABC to the number of books in School XYZ became 13:14.

                      (a) What fraction of the books in School ABC was loaned to School XYZ ?
                      (b) How many books were there in School XYZ at first?

                      ABC:XYZ
                      5:4
                      15:12
                      After
                      13:14
                      a) 2/15 (15-13=2)
                      b)1424/2=712
                      12*712=8544

                      Thank you.

                      Btw, can you explain why the ratio 5:4 multiply by 3? And why the denominator is 15? My son does not understand it.

                      TIA

                      1 Reply Last reply Reply Quote 0
                      • S Offline
                        smartmummy
                        last edited by

                        doraemo:
                        pls help

                        (2)\tIn April A,B C and D had a total of $324. In May , the savings of the 4 girls became equal when A’s savings was doubled, B’s savings was reduced by $4, C’s saving remained unchanged and D’s savings was increased by $9. What was B’s and D’s savings in April?
                        In May
                        A [ u ][u ]
                        B [ u ][u ] 4
                        C [ u ][u ]
                        D [u][u-9]

                        In Apr
                        u+2u+4+2u+2u-9=324
                        7u=329
                        u=47
                        B's in April=2*47+4=$98
                        D's in April=2*47-9=$87

                        1 Reply Last reply Reply Quote 0

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