Answer: The cost of one of these models is $1699.
Step by step solution:
Let's start by writing an equation that fits the situation.
Let x = model cost LED TV set cost
He sold 5 of these sets, his commission is of 6% = 0.06 = 6/100, and earned $509.70.
![5\cdot x*0.06=509.70](https://img.qammunity.org/2023/formulas/mathematics/college/6fqtsh4ozh92yrnrf0yxus0zacpi1ff8nf.png)
Solve for x,
![\begin{gathered} 5x*0.06=509.70 \\ 5x=(509.70)/(0.06) \\ x=(509.70)/(0.06\cdot5) \\ x=1699 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/clukcxw2mzc7m432ciqnae3nfwf0jo5o6k.png)
Answer: The cost of one of these models is $1699.