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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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    • P Offline
      pokemon97
      last edited by

      can somebody help me solve this question?


      The numbers of books Mrs Tee had is 4/5 the number of books Mrs Chua had. Mrs Tang had 60% fewer books than Mrs Tee. Mrs Tee and Mrs Chua gaveMrs Tang some books in the ratio of 3:2. As a result, Mrs Tand had 1 1/2 times as many books as before. Given that Mrs Chua had 261 books more than Mrs Tee in the end, how many books did Mrs Tee give to Mrs Tang?


      Thanks πŸ™‚

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

        can someone help to solve this burning maths qn?

        The intensity of illumination, l lumen/m2, at a point on a screen is inversely proportional to the square of the dstance, d metre , ofthe light source fromthe point. Given that d=25m when l =0.8 lumen/m 2, find
        A. l when d=1.25, my ans is 3.2 lumens/m2
        B. d, when l=0.05 lumens/m2. My ans is 10

        Are both answers correct?

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

          Herbie:
          can someone help to solve this burning maths qn?

          The intensity of illumination, l lumen/m2, at a point on a screen is inversely proportional to the square of the dstance, d metre , ofthe light source fromthe point. Given that d=25m when l =0.8 lumen/m 2, find
          A. l when d=1.25, my ans is 3.2 lumens/m2
          B. d, when l=0.05 lumens/m2. My ans is 10

          Are both answers correct?
          Hi

          l is inversely proportional to square of the distance
          so, l = k/d^2, where k is a constant.

          at d= 25m, l = 0.8 = k/625, k = 500

          now use l = 500/d^2 to find l and d for A and B, you should get
          A. l = 320 lumens/square m
          B. d = 100m

          cheers.

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

            pokemon97:
            can somebody help me solve this question?


            The numbers of books Mrs Tee had is 4/5 the number of books Mrs Chua had. Mrs Tang had 60% fewer books than Mrs Tee. Mrs Tee and Mrs Chua gaveMrs Tang some books in the ratio of 3:2. As a result, Mrs Tand had 1 1/2 times as many books as before. Given that Mrs Chua had 261 books more than Mrs Tee in the end, how many books did Mrs Tee give to Mrs Tang?


            Thanks πŸ™‚
            Hi

            Tee : Chua = 4:5
            Tang : Tee = 4:10 = 2:5
            So, Tang : Tee : Chua = 8u: 20u : 25u

            In the end, Tang had 1.5 times as many books
            so, total number of books given by Tee and Chua = 0.5 x 8u = 4u

            Tee gave 3/5 x 4u = 2.4u
            Chua gave 2/5 x 4u = 1.6u

            In the end,
            Tee had 20u - 2.4u = 17.6u
            Chua had 25u - 1.6u = 23.4u

            Chua had 261 books more than Tee in the end,
            23.4u - 17.6u = 261
            5.8u = 261, 1u = 45

            Mrs Tee gave 2.4u = 2.4 x 45 = 108 books to Mrs Chua

            cheers.

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

              thanks mathsizzfun, sorry, i just dscovered i hv a topo error, d should be= 2.5m and not 25m.


              Thanks for working it out for me! Many thanks!!

              1 Reply Last reply Reply Quote 0
              • C Offline
                Chan09
                last edited by

                Dear all, need some help on this:

                B and C had a total of $1475 at first. After B spent 4/7 of his money and C spent $145. C found that the amt of money he had left was 5/6 of what B had left. How much more money had B than C at first?
                Tks
                And: $485

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

                  Chan09:
                  Dear all, need some help on this:

                  B and C had a total of $1475 at first. After B spent 4/7 of his money and C spent $145. C found that the amt of money he had left was 5/6 of what B had left. How much more money had B than C at first?
                  Tks
                  And: $485
                  Hi

                  After B spent 4/7 of his money (ie 3/7 left) and C spent $145,
                  B: C = 6u : 5u
                  B's total = 7/3 x 6u = 14u
                  C's total = 5u + $145
                  B & C had total of $ 1475 at first --> 14u + 5u + $145 = $1475,
                  19u = $1330, 1u = $70

                  B-C = 14u - 5u - $ 145 = 9u - $145 = $630 - $ 145 = $485
                  B had $485 more than C at first.

                  cheers.

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

                    Dear all


                    Need help with these two questions :
                    1) Zach had a total of 2050 black and red marbles. He lost 3/5 of his black marbles and bought another 150 red marbles. As a result, the number of red marbles he had was 1/4 of the remaining black marbles. How many more black marbles than red marbles had he at first?\t

                    2) Vanessa, Hilton and Dolly were given a box of sweets. Vanessa took 1/3 of the sweets and another 20 from the box. Hilton took 0.5 of the remainder and another 40 from the box. Dolly took the remaining 30 sweets and there were no sweets left in the box.\t\t\t
                    a) How many sweets were there in the box at first ?\t\t\t
                    b) How many sweets did Hilton have finally ?\t

                    Thanks !

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

                      2DMommy:
                      Dear all


                      Need help with these two questions :
                      1) Zach had a total of 2050 black and red marbles. He lost 3/5 of his black marbles and bought another 150 red marbles. As a result, the number of red marbles he had was 1/4 of the remaining black marbles. How many more black marbles than red marbles had he at first?\t

                      2) Vanessa, Hilton and Dolly were given a box of sweets. Vanessa took 1/3 of the sweets and another 20 from the box. Hilton took 0.5 of the remainder and another 40 from the box. Dolly took the remaining 30 sweets and there were no sweets left in the box.\t\t\t
                      a) How many sweets were there in the box at first ?\t\t\t
                      b) How many sweets did Hilton have finally ?\t

                      Thanks !
                      Hi

                      Q1

                      http://i53.tinypic.com/2vj4ozo.jpg\">

                      Q2 is a typical \"work backwards\" problem sum. For eg. start from the end, we have, 30 (by Dolly)+40 (by Hilton)= 70 =0.5 of \"last\" remainder Hilton took from, so last remainder = 2 x 70= 140 and then work back again to initial state.. give it a try !

                      cheers.


                      cheers.

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

                        Herbie:
                        thanks mathsizzfun, sorry, i just dscovered i hv a topo error, d should be= 2.5m and not 25m.


                        Thanks for working it out for me! Many thanks!!
                        that's alright... u r welcome.

                        cheers.

                        1 Reply Last reply Reply Quote 0

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