Question

A salesperson earns $8 per hour plus 6% commission on her sales. In a week when she worked 40 hours, her total earnings were $692.

What was the total amount of her sales for the week?

Answer 1

The salesperson's total sales for the week were $6200, calculated by deducting her hourly wage earnings from her total earnings to find her commission, then dividing that commission by the commission rate.

Step-by-step explanation:

To determine the total amount of her sales for the week, we can set up an equation using the information provided. The salesperson earns $8 per hour for the hours worked plus a 6% commission on her sales. We know her total earnings for the week were $692.

First, we calculate her hourly earnings for the 40 hours she worked:

1. Hourly wage earnings: 40 hours × $8 per hour = $320.

The remaining amount of her total earnings comes from her commission:

1. Total earnings from commission: $692 - $320 = $372.

Now we use the commission rate to find the total amount of sales:

1. Commission is 6% of sales, so $372 = 6% of total sales.
2. Converting 6% to a decimal: 6% = 0.06.
3. Now we can set up the equation: $372 = 0.06 × total sales.
4. Divide both sides by 0.06 to find the total sales: total sales = $372 / 0.06.
5. Total sales = $6200.

Therefore, the total amount of her sales for the week was $6200.

Answer 2

372

Step-by-step explanation:

8x40=320

692-320=372