SOLUTION: Bank loaned $13,000 part of it at 6% per year and the rest at 16% per year. If the interest received in one year totaled $1500, how much was loaned at 6%

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Bank loaned $13,000 part of it at 6% per year and the rest at 16% per year. If the interest received in one year totaled $1500, how much was loaned at 6%      Log On

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Question 704338: Bank loaned $13,000 part of it at 6% per year and the rest at 16%
per year. If the interest received in one year totaled $1500, how much was loaned at 6%

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = amount loaned at 6%
+13000+-+x+ = amount loaned at 16%
given:
+.06x+%2B+.16%2A%28+13000+-+x+%29+=+1500+
+.06x+%2B+2080+-+.16x+=+1500+
+-.1x+=+-2080+%2B+1500+
+-.1x+=+-580+
+x+=+5800+
+13000+-+x+=+13000+-+580+
+13000+-+x+=+7200+
The amount loaned at 6% was $5,800
The amount loaned at 16% was $7,200
check:
+.06x+%2B+.16%2A%28+13000+-+x+%29+=+1500+
+.06%2A5800+%2B+.16%2A7200+=+1500+
+348+%2B+1152+=+1500+
+1500+=+1500+
OK