Question

The cost of living last year went up 13%. fortunately, Alice Swanson got a 13% raise in her salary from last year. this year she is owning $22,570. How much did she make last year? Round to the nearest hundredth.

Answer 1

According to the information given in the problem, you know that Alice got got a 13% raise in her salary from last year, therefore, this year she is owning $22,570.

Let be "x" the amount of money in dollars Alice made last year.

Set up the following equation:

`x+0.13x=22,570`

So, to solve this equation, you must solve for the variable "x". The procedure for this is shown below:

`\begin{gathered} 1.13x=22,570 \\ x=(22,570)/(1.13) \\ x=19,973.451 \end{gathered}`

Rounded to the nearest hundredth:

- Look at the digit in the hundreths place. In this case it is 5.

- Look at the digitt to the right of the digit 5 (In this case is the digit 1, which is located in the thousandths place).

- Since the number in the thousandths place is less than 5, you must round down and just remove all the digits located after the digit 5.

Then:

`x\approx19,973.45`

She made about $19,973.45 last year.