Question

Sales Daria sells televisions. She earns a fixed amount for each television and an additional $25 if the buyer gets an extended warranty. If Daria sells 17 televisions with extended warranties, she earns $1,445. How much is the fixed amount Daria earns for each television?​

Answer 1

Answer: Daria earns a fixed amount of $55 for each​ television.
Step-by-step explanation:
Let a represent the fixed amount that Daria earns for each​ television.
Daria earns a fixed amount for each television and an additional $25 if the buyer gets an extended warranty. This means that if she sells b televisions with extended warranties, the total amount that she would earn is
ab + 25b
If Daria sells 14 televisions with extended warranties,she earns $1,120. Therefore,
14a + 14 × 25 = 1120
14a + 350 = 1120
14a = 1120 - 350
14a = 770
a = 770/14
a = 55