$5800 was loaned at 6%
Let the amount loaned at 6% be x
Amount loaned at 16% is 13000 - x
Total interest = $1500
Interest at 6% = 0.06x
Interest at 16% = 0.16(13000-x)
Interest at 6% + Interest at 16% = 1500
0.06x + 0.16(13000 - x) = 1500
0.06x + 2080 - 0.16x = 1500
0.16x - 0.06x = 2080 - 1500
0.1x = 580
x = 580/0.1
x = 5800
$5800 was loaned at 6%
Learn more on percentage interest here: https://brainly.com/question/25545513