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tough question on ratio and proportion

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  • syncopation_music's Avatar
    427 posts since Nov '05
    • My pri 5 student stunned me with this question

       

      if  Amy:Daniel ratio for bouquets of flower is 4:5  and Daniel and Alice is 6:8

       

      how would you express in the ratio Amy:Daniel :Alice

       

      please help :)

       

      thanks

       

       

  • baiyun's Avatar
    26 posts since Sep '08
    • Amy:Daniel: Alice 

       4        5        

                 6         8

      24      30

                30       40

      12      15       20

  • dibilo's Avatar
    3,544 posts since Jun '04
    • if you wan you can draw models but i am lazy.. i'll just tell you the steps

      Amy: 4 units

      D: 5 units

      ________________________

      D:6 units

      Alice: 8units

      Comparing D on top and below, we know the LCM (lowest common multiple) is 30 therefore for the 5 units on top for D, you need to divide each unit into 6 parts to get 30. For Amy, you'll also need to divide each part into 6 = 24 parts

      For the D at the bottom, to get 30, you'll need to divide each unit by 5. for each of Alice's 8 units, divide them into 5 parts also and u'll get 40 units

       

      therefore the ratio is 24:30:40, in simplest form = 12:15:20

       

  • MyPillowTalks's Avatar
    15,791 posts since Nov '06
    •  

      if  Amy:Daniel ratio for bouquets of flower is 4:5  and Daniel and Alice is 6:8

       

      how would you express in the ratio Amy:Daniel :Alice

       

      Amy:Daniel:Alice
      4:5:------------must x 6 to get 30, so that line all x 6
        :6:8----------must x 5 to get 30, so that line all x5

      The common thing here is 6 and 5, which is the comparison of daniel and alice

      6x5=30(LCM)

      so multiply the 4 by 6, and 8 by 5 on the 1st and 2nd line respectively 

      so,

      4(6):5(6):
             :6(5):8(5)
      -----------------------
      24:30:40
      ------------------

      i tink need to be in simplest form, thus, divde 2 throughout, 12:15:20

  • weewee's Avatar
    498 posts since Aug '03
    • I think you need to read up more on primary school questions. This is just a medium level primary school question.

  • SBS 9613Z's Avatar
    187 posts since Nov '07
    • Originally posted by syncopation_music:

      My pri 5 student stunned me with this question

       

      if  Amy:Daniel ratio for bouquets of flower is 4:5  and Daniel and Alice is 6:8

       

      how would you express in the ratio Amy:Daniel :Alice

       

      please help :)

       

      thanks

       

       

      do you give tuition or what? this question is really really basic.

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    Darkness_hacker99's Avatar
    31,746 posts since Jun '05
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