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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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    • MathIzzzFunM Offline
      MathIzzzFun
      last edited by

      esibuyer:
      Hi, can solve the following question for my girl.

      Grandma is 80 years old and his son is 52 years old. How many years ago was Grandma thrice as old as his son?
      Thanks
      Hi

      Age difference will always remain the same.

      Age difference = 80 - 52 = 28
      When grandma was 3 times as old as her son,
      grandma's age --> 3u
      son's age --> 1u
      age difference --> 2u
      2u --> 28, 1u --> 14
      52-14 = 38 years ago

      cheers.

      1 Reply Last reply Reply Quote 0
      • O Offline
        ongmt
        last edited by

        1) Dan harvested some apples. He sold to Adam 3/4 of the apples and another 105 apples. He sold to Geradine 3/4 of the remainder but took back 55 apples. Dan had 890 apples left.


        a) How many apples did Geradine have after returning 55 apples to Dan
        b) How many apples did Farmer Dan harvest?

        2) Tank X and Y are each filled with some water. If water from tank Y is poured into Tank X until water in tank X reaches the brim, there will be 8L of water left in Tank Y, If water from Tank X is poured into Tank Y until water in Tank Y reach the brim, there will be 26L of water leftt in Tank X. The ratio of volume of of Tank X to Taank Y is 5 : 3. How many more litres of water are needed to fill both tanks to their brim?

        3)A florist had total 272 roses and lilies in ratio of 12:5. After selling away twice as many roses as Lilies, the ratio of roses to Lilies was 5:2. How many roses did she shell?

        Plse help. Thks

        :slapshead:

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

          ongmt:
          1) Dan harvested some apples. He sold to Adam 3/4 of the apples and another 105 apples. He sold to Geradine 3/4 of the remainder but took back 55 apples. Dan had 890 apples left.


          a) How many apples did Geradine have after returning 55 apples to Dan
          b) How many apples did Farmer Dan harvest?

          2) Tank X and Y are each filled with some water. If water from tank Y is poured into Tank X until water in tank X reaches the brim, there will be 8L of water left in Tank Y, If water from Tank X is poured into Tank Y until water in Tank Y reach the brim, there will be 26L of water leftt in Tank X. The ratio of volume of of Tank X to Taank Y is 5 : 3. How many more litres of water are needed to fill both tanks to their brim?

          3)A florist had total 272 roses and lilies in ratio of 12:5. After selling away twice as many roses as Lilies, the ratio of roses to Lilies was 5:2. How many roses did she shell?

          Plse help. Thks

          :slapshead:
          Hi

          Q1. You should be able to solve this... I will provide some pointers...
          Before Geraldine returned the apples to Dan, how many did Dan have ? This number represent 1/4 of the remainder after selling Geraldine the apples. You can work backwards from here.

          Q2.
          http://i41.tinypic.com/709vty.jpg\">

          Q3.
          At first,
          Roses --> 12/17 x 272 = 192
          Lilies --> 272 - 192 = 80

          Roses left : Lilies left
          = 192-2u : 80 - 1u
          = 5 : 2

          cross multiply or equalize:
          384 - 4u = 400 - 5u
          1u = 16

          Roses sold --> 2 x 16 = 32

          cheers.

          1 Reply Last reply Reply Quote 0
          • H Offline
            Herbie
            last edited by

            I hv one qn.

            The cost of a movie icket for an adulr is x, while $4 less. On a particular day, the ratio of the no. Of adults to children watching a movie was 1:6, they spent $322 in total.
            Express the no. Of adults watching the movie in terms of x.

            Tq

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

              Herbie:
              I hv one qn.

              The cost of a movie icket for an adulr is x, while $4 less. On a particular day, the ratio of the no. Of adults to children watching a movie was 1:6, they spent $322 in total.
              Express the no. Of adults watching the movie in terms of x.

              Tq
              Hi

              some parts of the question is missing..I will presume the cost of child ticket is $4 less.

              1 Adult --> $ x
              1 child --> $(x-4), 6 child --> $ 6(x-4)

              1 adult + 6 children --> $x + $ 6x - $24 = $ (7x - 24)

              Number of adults = 322/(7x-24)

              cheers.

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

                hi mathsizzfun please help


                In a confectionary, 3/10 of the cupcakes baked were strawberry cupcakes, 1/2 of them were chocolate cupcakes and the rest were grape cupcakes.
                2/7 of the strawberry cupcakes were sold. This was 1/2 of the chocolate cupcakes sold. The no. of grapes cupcakes sold was 1/4 the total no. sold in the other two flavours. Given that there were 190 cupcakes left, how many cupcakes were there at first?

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

                  Kafer:
                  hi mathsizzfun please help


                  In a confectionary, 3/10 of the cupcakes baked were strawberry cupcakes, 1/2 of them were chocolate cupcakes and the rest were grape cupcakes.
                  2/7 of the strawberry cupcakes were sold. This was 1/2 of the chocolate cupcakes sold. The no. of grapes cupcakes sold was 1/4 the total no. sold in the other two flavours. Given that there were 190 cupcakes left, how many cupcakes were there at first?
                  Hi

                  at first,
                  S : C : G = 3 : 5 : 2 --> 42u : 70u : 28 u (total 140u)
                  2/7 of S sold --> 12u
                  So, number of C sold --> 24u
                  G sold --> 1/4 x 36u = 9u
                  Total sold --> 45u
                  Left --> 140u - 45u = 95u
                  95u --> 190, 1u --> 2

                  Total number of cupcakes, at first --> 2 x 140 = 280

                  cheers.

                  1 Reply Last reply Reply Quote 0
                  • A Offline
                    Always21
                    last edited by

                    Hi Maths Guru,


                    Can help me with this problem?

                    Ray and Jim had an equal amount of money. Ray spent $85 on the watch and Jim spent $189 on a camera. As a result, Ray had thrice as much as money as Jim had left. How much money did each of them have at first?

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

                      Always21:
                      Hi Maths Guru,


                      Can help me with this problem?

                      Ray and Jim had an equal amount of money. Ray spent $85 on the watch and Jim spent $189 on a camera. As a result, Ray had thrice as much as money as Jim had left. How much money did each of them have at first?
                      Hi

                      In the end,
                      Jim --> 1 unit
                      Ray --> 3 units

                      At first,
                      Jim --> 1 unit + $189
                      Ray --> 3 units + $85
                      So, 1 unit + $189 = 3 units + $85
                      2 units --> $ 104
                      1 unit --> $52

                      1 unit + $ 189 --> $241

                      Each has $241 at first.

                      cheers.

                      1 Reply Last reply Reply Quote 0
                      • A Offline
                        Always21
                        last edited by

                        Many thanks

                        1 Reply Last reply Reply Quote 0

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