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.
[tex]5\cdot x\times0.06=509.70[/tex]Solve for x,
[tex]\begin{gathered} 5x\times0.06=509.70 \\ 5x=\frac{509.70}{0.06} \\ x=\frac{509.70}{0.06\cdot5} \\ x=1699 \end{gathered}[/tex]Answer: The cost of one of these models is $1699.
