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John has a bag of marbles. He gives away 3/4 of the marbles to his friend. Later, he receives another bag containing 2/4 of the original number of marbles. How many marbles does John have now?

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User Skitz
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1 Answer

5 votes

Answer:

Total is 3

Explanation:

AI-generated answer

Let's start by finding out how many marbles John had initially. We can do this by using the information given in the problem.

Let the original number of marbles be x.

John gave away 3/4 of his marbles, which means he has 1/4 of the original number of marbles left. We can express this as:

1/4 x = the number of marbles John has left

If we solve for x, we get:

4/1 * 1/4 x = 4/1 * the number of marbles John has left

x = 4 * the number of marbles John has left

Now we know that John had 4 times the number of marbles he has left.

Next, John receives another bag of marbles containing 2/4 (which is the same as 1/2) of the original number of marbles.

We can express this as:

1/2 x = the number of marbles in the new bag

To find the total number of marbles John has now, we can add the number of marbles he has left to the number of marbles in the new bag:

Total number of marbles = the number of marbles John has left + the number of marbles in the new bag

Total number of marbles = 1/4 x + 1/2 x

Total number of marbles = (1/4 + 1/2) x

Total number of marbles = (3/4) x

We know that x = 4 times the number of marbles John has left, so we can substitute this into the equation:

Total number of marbles = (3/4) * 4 * the number of marbles John has left

Total number of marbles = 3 * the number of marbles John has left

Therefore, the total number of marbles John has now is 3 times the number of marbles he has left.

Tell me in the commets if you didn't understand a word or something in the equation. :)

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User Richard Tinkler
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