5.3. PS-17 Sales Daria sells televisions. She earns a fixed amount for each television and an additional $ 30 if the buyer gets an extended warranty. If Daria sells 11 televisions with extended warranties, she earns $1100. How much is the fixed amount Daria earns for each television?

Answer: the fixed amount that Daria earns for each television is $70

Step-by-step explanation:

Let x represent the fixed amount that Daria earns for each television.

She earns a fixed amount for each television and an additional $30 if the buyer gets an extended warranty. This means that if she sells n televisions with extended warranties, the total amount that she would earn is

xn + 30n

If Daria sells 11 televisions with extended warranties, she earns $1100. This means that

11x + 11 * 30 = 1100

11x + 330 = 1100

11x = 1100 - 330

x = 770/11

x = $70