Final answer:
The coworker's paycheck is approximately $348.65, and the salesperson's paycheck is approximately $296.35.
Step-by-step explanation:
Let's assume the coworker's paycheck is x dollars.
The salesperson's paycheck is 15% less than the coworker's, so it is 85% of x.
Together, the two salespeople make $645, which can be expressed as the equation:
x + 0.85x = 645
Simplifying the equation, we get 1.85x = 645.
To find the value of x, we divide both sides of the equation by 1.85:
x = 645 / 1.85
Using a calculator, we find that x ≈ $348.65.
Therefore, the coworker's paycheck is approximately $348.65, and the salesperson's paycheck is 85% of $348.65, which is approximately $296.35.