An employee has a salary of $20,370 after getting a 5% raise. What was their salary before the increase in pay?
What is the equation that needs to be used here?
Thanks.
Original salary = 20370/1.05
= ....
1.05x = $20,370
x = ?
The equation that needs to be used here is:
Previous salary + (Previous salary * 5%) = New salary
Let's calculate the employee's previous salary step-by-step:
Step 1: Convert the 5% raise to a decimal.
5% = 5/100 = 0.05
Step 2: Write the equation using the previous salary (X) and the new salary ($20,370):
X + (X * 0.05) = $20,370
Step 3: Simplify the equation:
X + 0.05X = $20,370
Step 4: Combine like terms:
1.05X = $20,370
Step 5: Solve for X by dividing both sides of the equation by 1.05:
X = $20,370 / 1.05
Step 6: Calculate X:
X ≈ $19,400
Therefore, the employee's salary before the increase in pay was approximately $19,400.
To calculate the employee's salary before the 5% raise, you need to set up an equation using the given information.
Let's break down the problem:
The employee's salary after the raise is $20,370.
The raise is 5% of the salary before the raise.
So, let's represent the salary before the raise as "x."
The raise amount is 5% of x, which can be expressed as 0.05x.
The employee's salary after the raise is the sum of the salary before the raise and the raise amount: x + 0.05x = $20,370.
Now, we can solve the equation to find x, which represents the salary before the raise.
Combining like terms: 1.05x = $20,370.
Next, divide both sides by 1.05 to isolate x: x = $20,370 / 1.05.
Evaluating this expression, x is approximately $19,400.
Therefore, the employee's salary before the increase in pay was $19,400.
The equation used to solve this problem is:
x + 0.05x = $20,370