Question
Question 13
This week Jamie got a promotion at work that came with a
pay increase. If now her monthly salary is
, how much was she making before the raise?
Enter your answer as a decimal. If needed, round to the nearest penny. Do not use commas.
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This week Jamie got a promotion at work that came with a
Enter your answer as a decimal. If needed, round to the nearest penny. Do not use commas.
Question Help: Video Message instructor
Suls
Ask by Potter Barker. in the United States
Mar 29,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Jamie was making $2750 before the raise.
Solution
To find out how much Jamie was making before the raise, we can use the information provided. Let’s denote Jamie’s monthly salary before the raise as
.
Given that Jamie’s monthly salary after the raise is
and the raise is
, we can set up the equation:
Simplifying the equation:
To find the value of
, we can divide both sides of the equation by
:
Now, we can calculate the value of
to find out how much Jamie was making before the raise.
Calculate the value by following steps:
Calculate the value by following steps:
- step0: Calculate:
- step1: Convert the expressions:
- step2: Multiply by the reciprocal:
- step3: Reduce the numbers:
- step4: Multiply the numbers:
Jamie was makingbefore the raise.
Answered by UpStudy AI and reviewed by a Professional Tutor
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The Deep Dive
To find Jamie’s salary before the raise, you can use the formula:
Let her original salary be . After a
increase, her new salary can be expressed as:
.
Set this equal to her current salary:
.
To find (the original salary), divide by
:
.
So before the raise, Jamie was making approximately .
Let her original salary be
Set this equal to her current salary:
To find
So before the raise, Jamie was making approximately
When we encounter salary increases and percentages, it’s important not to confuse the amount of increase with the final salary. A common mistake is calculating
of the new salary instead of using the original salary as the base for the percentage increase. Always remember to divide by
to revert to the original amount!