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Tom has a certain number of marbles.He gave Bob 1/4 of them. Bob gave 1/3 of his share to john. John then gave 1/2 of those to Kevin .Kevin is left with 5 marbles after giving 1/6 to Michael. How many marbles did Tom have

Sagot :

facundo3141592

By working with fractions, we will see that Tom originally had 144 marbles.

How to find the number of Marbles that Tom had?

Let's say that the original number of marbles is M.

Then, he gives 1/4 of them to Bob, so Bob has M/4 marbles.

Bob gives 1/3 of what he had to John, so John has:

  • (M/4)/3 = M/12 marbles.

Then, John gives 1/2 of what he has to Kevin, so Kevin has:

  • (M/12)/2 = M/24.

Then Kevin gives 1/6 (Then he keeps 5/6 of the marbles) of what he has to Michael, and after that he has 5 marbles, this means that:

(5/6)*(M/24) = 5

Solving for M, we get:

M = (6/5)*24*5 = 144

This means that Tom originally had 144 marbles.

If you want to learn more about fractions, you can read:

https://brainly.com/question/11562149

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