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 K

Question

2 years ago

15

evin .Kevin is left with 5 marbles after giving 1/6 to Michael. How many marbles did Tom have

1 answer:

Marysya12 [62] · Answer 1 · 2022-12-06T10:45:23+03:00

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

<h3>How to find the number of Marbles that Tom had?</h3>

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:

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

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: