Commission

A commission is expressed as a percentage of the value of goods sold.

First, draw a line diagram to further understand the given values.

Solve for the remaining balance by subtracting $$$80{,}000$$ from the value of the house, which is $$$420{,}000$$.

`\text(Remaining Balance)`	`=`	$$$420{,}000-80{,}000$$
	`=`	$$$340{,}000$$

Next, solve the commission for the first $$$80{,}000$$ of the value, which will be `3.5%`.

Then, solve the commission for the rest of the value, which will be `2%`.

Finally, add the two commissions to get the total commission

`\text(Total Commission)`	`=`	`2800``+``6800`
	`=`	`$9600`

Hence, the real estate agent will get a total commission of $$\underline{$9600}$$.

`$9600`

`\text(Remaining Balance)`	`=`	$$$690{,}000-90{,}000$$
	`=`	$$$600{,}000$$

`\text(Total Commission)`	`=`	`2700``+``9000`
	`=`	$$$11{,}700$$