Tutor MathsGuru: Ask me for your burning Maths questions!

[MathIzzzFun]

helenLim2011:

Hello, I have a burning Question Here. Hope you can solve. Thanks Mr Kiasu


Can Someone help me at this Maths Problem? Its driving me NUTS

Jim and Fred had a total of $40. Jim gave 3/7 of his money to Fred. Fred then gave 1/6 of the total amount of money he had to Jim. In the end, each of them had the same amount of money. How much money did each of them have at first?

(This is a P5 Question so plse reply in a P5 manner of understanding!) Bless you for helping me out...

Hi

you can work backwards ..
In the end,
Jim --> $ 20
Fred --> $20 --- this is after Fred gave 1/6 to Jim, so this amount is equal to 5/6 of Fred's money.

Before Fred gave 1/6 to Jim,
Fred --> $ 20 x 6 /5= $ 24
Jim --> $ 40-$ 24 = $16 -- this is equal to 4/7 of Jim's money at first

At first,
Jim --> $ 16 x 7/4 = $ 28
Fred --> $ 40 - $ 28 = $ 12

cheers.

[helenLim2011]

Hi MathIzzzFun


Thanks for the great help but my girl is the visual sort. Are you able to illustrate the answer using models?


Much thanks again!

[MathIzzzFun]

helenLim2011:

Hi MathIzzzFun


Thanks for the great help but my girl is the visual sort. Are you able to illustrate the answer using models?


Much thanks again!

Hi

I do not have time to draw the model at the moment, I will try to put in words here..

in the end,
Jim --> $ 20
Fred --> $20 --- this is after Fred gave 1/6 to Jim, so this amount is equal to 5/6 of Fred's money
-- draw 5 blocks for Fred (since 5/6 left) and also 5 blocks for Jim since they have the same amount... ie end state :
Jim --> 5 blocks
Fred --> 5 blocks

from here, one can see that this is after Fred give 1/6 to Jim, so, 5 blocks represent 5/6 of Fred's money before the transfer, ie he transferred 1 block to Jim. So, draw the model before this transfer --> transfer 1 block back to Fred and you will have 6 blocks for Fred and 4 blocks for Jim .. so, before Fred give 1/6 to Jim
Jim --> 4 blocks
Fred --> 6 blocks

again, from this model, one can see that Jim had 4 blocks left after giving 3/7 to Fred ie the 4 blocks represent 4/7 of Jim which means that before the transfer, Jim had 7 blocks. Now, draw the final model which is the start state -->
transfer 3 blocks back to Jim and we have
Jim --> 7 blocks
Fred --> 3 blocks...
10 blocks --> $ 40
1 block --> $4

At first,
Jim --> $4 x 7 = $ 28
Fred --> $4 x 3 = $ 12

cheers.

[helenLim2011]

MathIzzzFun You are indeed a math wizard.


Thanks very much and have a great time coaching online.

A very pleased Mdm Lim:)

[MathIzzzFun]

helenLim2011:

MathIzzzFun You are indeed a math wizard.


Thanks very much and have a great time coaching online.

A very pleased Mdm Lim:)

u r welcome

cheers.

[Kafer]

Hi i have one qn


John speed is ia x m/s.
Mary speed is y m/s
If john starts 2 sec later, he will take 8 secs to catch up with mary.
If john starts to run only when mary is 8m ahea 5 sec to catch up with her.
Form two eqn in x an y.

Can help?

[violin_lover]

8x=10y and 8+5y=5x

[Kafer]

violin_lover:

8x=10y and 8+5y=5x

Thanks! Can exlain how you workput the eqn?

[violin_lover]

Kafer:

violin_lover:

8x=10y and 8+5y=5x

Thanks! Can exlain how you workput the eqn?

Sure. But just to follow the \"tradition\", could you please tell us which level is the question pitch at and if possible, where did you encounter it?

[Kafer]

Hi, violin_lover, it is a sec level maths qn.