How much did Aaron start with?

Aaron spent 3/7 of his money. He gave ¼ of the remainder to his sister. He had $120 left. How much money did he have in the beginning? Explain how you got your answer.

Aarrgghh! You've had three answers. Why are you wasting your time and our time by posting this over and over?

he was left with 4/7

he gave 1/4 of the 4/7 to his sister
so he was left with 3/4 of the 4/7
so
(3/4)(4/7)x = 120

(3/7) x = 120
x/7 = 40
x = 280

I am getting a bit bored with this question as well.

these answers are wrong

To find out how much money Aaron had in the beginning, we can work backward from the information given.

Let's break down the information provided step by step:

1. Aaron spent 3/7 of his money. This means he has 4/7 of his money leftover.
2. He gave 1/4 of the remainder to his sister. This means he has 3/4 of the 4/7 of his money left.
3. We know that he had $120 left, so we can set up an equation to find the total amount:
(3/4) * (4/7) * X = $120
Here, X represents the total amount of money Aaron had in the beginning.

Now, let's solve the equation:

First, multiply the fractions on the left side of the equation:
(3/4) * (4/7) = 12/28 = 3/7

Next, we can rewrite the equation as:
(3/7) * X = $120

To solve for X, we can multiply both sides of the equation by the reciprocal of 3/7, which is 7/3:
(3/7) * X * (7/3) = $120 * (7/3)
X = $280

Therefore, Aaron had $280 in the beginning.