A car salsman recieves a salary of 5000 dolars a mouth plus a 50% commission of his monthly car sales in dollars. If his total compensation in september was 10000, what is the value of the cars that he sold

Answer 1

Let's break down the total compensation of the car salesman in September:

1. Base Salary: The car salesman receives a fixed salary of $5,000 per month.
2. Commission: He also earns a 50% commission on his car sales.

Let \( S \) be the total dollar amount of cars sold by the salesman in September.

The total compensation can be expressed as: \[ \text{Total Compensation} = \text{Base Salary} + \text{Commission} \] Since the commission is 50% of the sales, we have: \[ \text{Commission} = 0.50 \times S \] Combining these, we get: \[ \text{Total Compensation} = 5000 + 0.50S \] We know that his total compensation for September was $10,000. So, we set up the following equation: \[ 5000 + 0.50S = 10000 \]

Now, we can isolate \( S \): \[ 0.50S = 10000 - 5000 \] \[ 0.50S = 5000 \] \[ S = \frac{5000}{0.50} \] \[ S = 10000 \]

Therefore, the value of the cars that the salesman sold in September is $10,000.