Question

An executive in an engineering firm earns a monthly salary plus a Christmas bonus of \(8500. If she earns a total of \)97,300 per year, what is her monthly salary?

Short answer

$7400be the amount she gets paid each month.

Step-by-step solution

Step 1. Concept used.

Total income = Salary + Bonus

Step 2. Make the equation.

Let xbe the amount she gets paid each month.

Use this to write the amount she gets paid in 12 months.

$12\cdot x=12x$ … (1)

Add the bonus to the result of (1) and set this equal to the amount she gets paid every year.

$97,300=12x+8500$

Step 3. Solve the equation.

We have,

$97,300=12x+8500$

Subtract 8500 from both sides:

$\begin{array}{l}97,300-8500=12x+8500-8500\\ 12x=88,800\end{array}$

Divide both sides by 12:

$\begin{array}{l}\frac{12x}{12}=\frac{88,800}{12}\\ x=7400\end{array}$

Hence, $7400be the amount she gets paid each month.