How much did Aaron start with?
Aaron spent 3/7 of his money. He gave 3 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.
1 - 3/7 = 4/7 is remainder
(4/7) x - 3 = 120
To find out how much money Aaron started with, we need to work through the problem step by step.
Let's start with the information given in the question: Aaron spent 3/7 of his money, which means he has 4/7 remaining.
Next, we are told that Aaron gave 3 of the remainder to his sister, so we need to subtract that from the amount he had left. Since we know he had 4/7 remaining, we can calculate 4/7 - 3/7 = 1/7.
Now we know that 1/7 of Aaron's money is equal to $120. To find the value of 1/7, we can multiply $120 by the reciprocal of 1/7, which is 7/1. This gives us:
$120 * 7/1 = $840.
Therefore, Aaron had $840 in the beginning.