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Tiffany invested ${\$52{,}000}$ in two accounts. At the end of a year, one account had made a $7.2\%$ gain, and the other had made a $2.8\%$ gain. All together, Tiffany’s accounts earned ${\$2{,}096.64}$ in interest. How much money did Tiffany invest in each account? The table below may help you organize information before you write an equation.

If we let $x$ be the amount of money invested in the $7.2\%$ account...

Organize data with a table
	Rate	$\times$	Principal	$=$	Interest
$7.2\%$ Investment	$0.072$		$x$		$0.072 x$
$2.8\%$ Investment	$0.028$

According to the table, the total interest that Tiffany earned is dollars.

Now set up and solve an equation to find how much Tiffany invested in each account.

Tiffany invested at $7.2\%$ and at $2.8\%$ .

You can earn partial credit on this problem.