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    Q&A - PSLE Math

    Scheduled Pinned Locked Moved Primary 6 & PSLE
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    • N Offline
      Neat
      last edited by

      Hi!


      Please help to solve the question:

      The ratio of the number of males to the number of females at a performance is 5:7. 1/4 of the males and 3/4 of the females are children. What is the ratio of the number of adults to children? Express your answer in simplest form.

      Thanks

      1 Reply Last reply Reply Quote 0
      • T Offline
        tech_nomax
        last edited by

        At Station A, the ratio of the number of children to the number of adults on a train was 4:5. At the next station, 12 children alighted and 10 adults boarded the train. The ratio of the number of children to the number of adults on the train then became 7:10. How many children were on the train at first?

        1 Reply Last reply Reply Quote 0
        • M Offline
          mum ks
          last edited by

          Neat:
          Hi!


          Please help to solve the question:

          The ratio of the number of males to the number of females at a performance is 5:7. 1/4 of the males and 3/4 of the females are children. What is the ratio of the number of adults to children? Express your answer in simplest form.

          Thanks
          males: females=5:7 =>20:28
          ¼= 20 , ¾=60
          Children = 60-28=32
          Ratio of the no of adults to children = 48:32= 3:2

          1 Reply Last reply Reply Quote 0
          • N Offline
            Neat
            last edited by

            mum ks:
            Neat:

            Hi!


            Please help to solve the question:

            The ratio of the number of males to the number of females at a performance is 5:7. 1/4 of the males and 3/4 of the females are children. What is the ratio of the number of adults to children? Express your answer in simplest form.

            Thanks

            males: females=5:7 =>20:28
            ¼= 20 , ¾=60
            Children = 60-28=32
            Ratio of the no of adults to children = 48:32= 3:2

            Thanks mum ks for your quick response.

            However, the answer given is 11:13.

            Regards

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

              Neat:
              Hi!


              Please help to solve the question:

              The ratio of the number of males to the number of females at a performance is 5:7. 1/4 of the males and 3/4 of the females are children. What is the ratio of the number of adults to children? Express your answer in simplest form.

              Thanks
              Hi

              ratio of males : females --> 5 : 7 --> 20 : 28
              ratio of boys: men --> 5:15 (**1/4 of 20 : 3/4 of 20)
              ratio of girls :women --> 21:7 (**3/4 of 28 : 1/4 of 28)
              So,
              ratio of adults : children --> 22: 26 = 11 : 13

              cheers.

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

                kiasuaunt:
                When Donald cycles from home to the park and back home, he will take half an hr. If he cycles to the park from home and runs back,he will take an hr. How long will he take to run both ways at the same speed? Thanks.

                Hi

                what (which part of the journey) remains the same ? --> cycle from home to park

                what (which part of journey) changed ? --> cycle from park to home for 1st scenario, run from park to home for 2nd scenario

                this means that the extra half an hour \"comes\" from the change ie running from park to home takes 1/2 h more than cycle from park to home.....can you complete the solution ?

                cheers.

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

                  tech_nomax:
                  At Station A, the ratio of the number of children to the number of adults on a train was 4:5. At the next station, 12 children alighted and 10 adults boarded the train. The ratio of the number of children to the number of adults on the train then became 7:10. How many children were on the train at first?

                  Hi

                  At first, Children : Adults --> 8u : 10u
                  In the end, Children : Adults --> 7u + 7 : 10u + 10
                  So, 8u - 12 = 7u +7
                  1u --> 19

                  Children, at first --> 8 x 19 = 152

                  cheers.

                  1 Reply Last reply Reply Quote 0
                  • N Offline
                    Neat
                    last edited by

                    MathIzzzFun:
                    Neat:

                    Hi!


                    Please help to solve the question:

                    The ratio of the number of males to the number of females at a performance is 5:7. 1/4 of the males and 3/4 of the females are children. What is the ratio of the number of adults to children? Express your answer in simplest form.

                    Thanks

                    Hi

                    ratio of males : females --> 5 : 7 --> 20 : 28
                    ratio of boys: men --> 5:15 (**1/4 of 20 : 3/4 of 20)
                    ratio of girls :women --> 21:7 (**3/4 of 28 : 1/4 of 28)
                    So,
                    ratio of adults : children --> 22: 26 = 11 : 13

                    cheers.

                    Thanks MathIzzzFun

                    :thankyou:

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

                      Please help and many thanks in advance.


                      Question:
                      Vivian has some sweets. If she shares the sweets among 4 friends,5 friends or 9 friends, the remainder is 3,4 or 8 sweets respectively.What is the least possible number of sweets she can have?

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                      • MathIzzzFunM Offline
                        MathIzzzFun
                        last edited by

                        small:
                        Please help and many thanks in advance.


                        Question:
                        Vivian has some sweets. If she shares the sweets among 4 friends,5 friends or 9 friends, the remainder is 3,4 or 8 sweets respectively.What is the least possible number of sweets she can have?
                        Hi small,

                        share with 4,5,9 friends --> total 5,6,10 people
                        remainder --> 3,4,8
                        compare the number of people and remainder, you will see that if you were to add 2 to each remainder, the total number will be divisible by 5,6,10 respectively.

                        So, least possible number of sweets = lowest common multiple of 5,6 & 10 - 2

                        cheers.

                        1 Reply Last reply Reply Quote 0

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