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    Tutor MathsGuru: Ask me for your burning Maths questions!

    Scheduled Pinned Locked Moved Primary Schools - Academic Support
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    • 2 Offline
      2DMommy
      last edited by

      Nee help with this ratio question.


      The ratio of $2 notes and $10 notes in Pei Ling’s wallet was 5:4. Pei Ling exchanged 15 pieces of her $10 notes for $2 notes. After which, she had 20 times as many $2 notes as $10 notes. What was the total value of the $2 notes and $10 notes in Pei Ling’s wallet in the end?

      Thank you in advance.

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

        2DMommy:
        Nee help with this ratio question.


        The ratio of $2 notes and $10 notes in Pei Ling's wallet was 5:4. Pei Ling exchanged 15 pieces of her $10 notes for $2 notes. After which, she had 20 times as many $2 notes as $10 notes. What was the total value of the $2 notes and $10 notes in Pei Ling's wallet in the end?

        Thank you in advance.
        Hi

        at first:
        number of $2 notes : $10 notes = 5:4
        value of $2 notes : $10 notes = 5 x 1 : 4 x 5 = 5 : 20 = 5u : 20u

        in the end:
        number of $2 notes : $10 notes = 20 : 1
        value of $2 notes : $10 notes = 20 x 1 : 1 x 5 = 20 : 50 = 20u : 5u

        so 20u - 5u = 15u = $10 x 15 = $ 150
        1u = $10

        in the end,
        value of $2 notes = 20u = 20 x $10 = $200
        value of $10 notes = 5u = 5 x $10 = $50

        cheers.

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

          kwcllf:
          Hi,


          Please help with the following question:

          When Michelle was 25 years old, Adrian's age was twice that of Nan. At present, Nan is 10 years old and Michelle is twice the age of Adrian. What is the age of Nan when Michelle is 40 years old?

          Thanks!
          Hi

          when Michelles was 25yo,
          Nan = [u]
          Adrian= [u][u]

          Now,
          Nan = [10]
          Adrian =[10][u] --- age difference remains the same
          Michelle = [10][u][10[u]

          so, when Michelle was 25yo,
          Michelle = Adrian's age + [10][u] --- age difference remains the same
          25 = [u][u][u][10]
          [u]=5

          Michelle's age now = 20+2[u] = 30
          so when Michelle is 40 yo, Nan's age = 10 +40-30=20 years old.

          cheers.

          1 Reply Last reply Reply Quote 0
          • K Offline
            kwcllf
            last edited by

            Thanks Bluebelt! :salute:


            Really appreciate all your help.

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

              Need help with these two questions


              1)If Gary gives Hillary $50, both of them will have the same amount of money. If Hillary gives Gary $22, the ratio of Gary’s money to Hillary’s money will become 2:1. How much money does Hillary have?

              2)Ben, Rachel and Willy had 8.61 kg of modeling clay altogether. Ben gave Rachel 0.54kg of clay, Rachel gave Willy 0.21 clay and Willy gave Ben 0.37kg of clay. Ben then had twice as much clay as Rachel and Rachel had twice as much clay as Willy. How much clay did Willy have at first?

              Thank you so much !

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              • MathIzzzFunM Offline
                MathIzzzFun
                last edited by

                kwcllf:
                Thanks Bluebelt! :salute:


                Really appreciate all your help.
                u r welcome..

                cheers, mathizzzfun

                1 Reply Last reply Reply Quote 0
                • K Offline
                  kwcllf
                  last edited by

                  Please help with the following question:


                  Vicky and Jane were given a certain amount of money to spend. If Vicky spent $90 and Jane spent $30, Vicky would have $100 left when Jane had spent all her money. If Vicky spent $30 and Jane spent $90, Vicky would have $580 left when Jane had spent all her money, Find the total amount of money given to Vicky and Jane.

                  Thansks.

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

                    kwcllf:
                    Please help with the following question:


                    Vicky and Jane were given a certain amount of money to spend. If Vicky spent $90 and Jane spent $30, Vicky would have $100 left when Jane had spent all her money. If Vicky spent $30 and Jane spent $90, Vicky would have $580 left when Jane had spent all her money, Find the total amount of money given to Vicky and Jane.

                    Thansks.
                    Hi

                    spending ratio when Jane spent $90:
                    Jane : Vicky = 90: 30 = 3u : 1u, Vicky had $580 left

                    spending ratio when Jane spent $30:
                    Jane : Vicky = 30 : 90 = 3u : 9u, Vicky had $100 left

                    so total amount Vicky had = 1u + $580 = 9u + $100
                    8u = $480, 1u = $60

                    Total amount of money = 4u + $ 580 (or 12u + $100) = $820

                    cheers.

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

                      2DMommy:
                      Need help with these two questions


                      1)If Gary gives Hillary $50, both of them will have the same amount of money. If Hillary gives Gary $22, the ratio of Gary's money to Hillary's money will become 2:1. How much money does Hillary have?

                      2)Ben, Rachel and Willy had 8.61 kg of modeling clay altogether. Ben gave Rachel 0.54kg of clay, Rachel gave Willy 0.21 clay and Willy gave Ben 0.37kg of clay. Ben then had twice as much clay as Rachel and Rachel had twice as much clay as Willy. How much clay did Willy have at first?

                      Thank you so much !
                      Hi

                      http://i54.tinypic.com/2h3mq77.jpg\">

                      For Q2, try working backwards.. in the end, Ben would have 4 units, Rachel 2 units and Willy 1 unit. So, in the end Ben would have 4/7 x 8.61 kg = 4.92 kg and so forth, then work backwards.. give it a try 😄

                      cheers.

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

                        Thank you so much MathIzzzFun !


                        Got it for the 2nd question 🙂

                        1 Reply Last reply Reply Quote 0

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