the cost of living last year went up 3% fortunately alice swanson got a 3% rais in her salery from last year. This year she is earning $22,660 how much did she make last year
This is just like the last problem
1.03 S = 22,660
so
S = 22,660/1.03
To find out how much Alice Swanson made last year, we can use the fact that the cost of living increased by 3% and Alice received a 3% raise from her salary of last year.
Let's denote Alice's salary last year as "X".
Given that the cost of living increased by 3%, it means that the cost of living last year was 100% + 3% = 103% of what it was before. This can be written as 1.03.
Alice received a 3% raise, which means her salary this year is 103% of what it was last year. This can be written as 1.03 * X.
We are given that her salary this year is $22,660. So we can set up the equation:
1.03 * X = $22,660
To find X (her salary last year), we can divide both sides of the equation by 1.03:
X = $22,660 / 1.03
Using a calculator, this gives us:
X ≈ $22,022.33
Therefore, Alice Swanson made approximately $22,022.33 last year.