Pre-Algebra Word Problem

[lovelyshannon]

$23,378 is invested, part at 6% and the rest at 5%. If the interest earned from the amount invested at 6% exceeds the interest earned from the amount invested at 5% by $424.67, how much is invested at each rate? (Round to two decimal places if necessary.)

? at 6%
? at 5%

Please explain how to solve this problem.

 

[lovelyshannon]

$14,487 at 6%
$8,891 at 5%