SOLUTION: Part of $13,750 is invested at 9% interest and the rest is invested at 8%. After on year, the accounts paid $1,185 in interest. How much was invested at the lower rate?

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Question 158852: Part of $13,750 is invested at 9% interest and the rest is invested at 8%. After on year, the accounts paid $1,185 in interest. How much was invested at the lower rate?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
.08x+.09(13,750-x)=1,185
.08x+1,237.50-.09x=1,185
-.01x=1,185-1,237.50
-.01x=-52.50
x=-52.50/-.01
x=$5,250 is the amount invested @ 8%.
13,750-5,250=$8,500 invested @ 9%.
Proof.
.08*5,250+.09*8,500=1,185
420+765=1,185
1,185=1,185