Harry and Potter had $224 altogether. When Harry gave 1/5 of his money to Potter, they foundthey had the same amount of money. How much money did each have at the beginning?

Let x = Harry, then 224-x = Potter.

4/5x = (224-x) + 1/5x

Solve for x. (Multiply both sides by 5 first.)

"Harry" and "Potter" XD XD Lmfao

To solve this problem, let's break it down step by step.

Let's assume the amount of money Harry initially had is 'x'.
So, the amount of money Potter initially had is '224 - x' because they had $224 altogether.

According to the problem, Harry gave 1/5 of his money to Potter, which means Harry now has 4/5 of his initial amount and Potter has his initial amount plus the 1/5 given by Harry.

Now, we know that both Harry and Potter have the same amount of money.
Thus, we can set up the equation:

4/5 * x = (224 - x) + 1/5 * x

Let's solve this equation to find the value of 'x' which represents the initial amount of money Harry had.

Multiplying both sides of the equation by 5 to eliminate fractions:
4x = 5(224 - x) + x
4x = 1120 - 5x + x
4x + 5x = 1120
9x = 1120
x = 1120/9

Therefore, the initial amount of money Harry had, 'x', is approximately $124.44.

To find the initial amount of money Potter had, we substitute the value of 'x' back into the expression '224 - x':
224 - 124.44 = $99.56

So, at the beginning, Harry had $124.44, and Potter had $99.56.