I lost 3/4 of my money; If I had lost 2/9 of what I have, I would have 75 soles more than what I have. Calculate what I will have, if I lose 1/3 of what I have
Accepted Solution
A:
Let's denote your initial amount as "x" so that we can set up equations based on the information given:
1. You lost 3/4 of your money: You have (1 - 3/4)x = 1/4x remaining.
2. If you had lost 2/9 of what you have, you would have 75 soles more: This can be expressed as (1 - 2/9)x + 75 = x.
3. Now, let's solve for x in the second equation.
(7/9)x + 75 = x
(7/9)x = 75
x = (9/7) * 75
So, your initial amount "x" is (9/7) * 75.
4. If you lose 1/3 of what you have now: You will have (1 - 1/3) * (9/7) * 75.
Calculate that value to find out what you will have.