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 By: keenlearner (offline)  Friday, November 09 2012 @ 06:35 AM CST (Read 839 times)
keenlearner

Hi everyone, appreciate help with this problem sum:

Ali, Bala and Carl shared 90 marbles. If Ali gave 6 marbles to Bala, Bala gave 2 marbles to Carl and after that Carl gave 1/4 of what he had to Ali, the three boys will have the same number of marbles in the end. How many more marbles than Ali did Carl have?

Junior

Registered: 11/08/12
Posts: 22

 By: jo sarah (offline)  Saturday, November 10 2012 @ 08:03 AM CST
jo sarah

Ali, Bala and Carl shared 90 marbles. If Ali gave 6 marbles to Bala, Bala gave 2 marbles to Carl and after that Carl gave 1/4 of what he had to Ali, the three boys will have the same number of marbles in the end. How many more marbles than Ali did Carl have?

[this is a 'work-backward' type of question.]

in the end, all 3 has same no. Therefore, each will have 90 / 3 = 30 marbles in the end.

........................Ali..................Bala..................Carl
in end:.............30....................30.....................30................this is after C gives 1/4 to A, i.e, what C has is 3/4 --> 30; 1/4 --> 10
giving;.............20....................30.....................40.................this is after B gives 2 to C
giving:.............20....................32.....................38.................this is after A gives 6 to B
resulting in:......26....................26....................38.................which is what each boys have actually. [Notice the 2nd sentence starts with a "If"]

therefore, Carl has 38 - 26 = 12 more marbles than Ali.

Regular Member

Registered: 03/20/12
Posts: 111

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