The amount invested at 15% was $900 whereas the $300 was invested in the 11% account
How do we represent the amounts invested in each account?
The fact that $900 more was invested in 15% account means that if the amount invested in the 11% is x, then amount in the other would be x+900
interest on 15% account=15%*(x+900)
interest on 15% account=0.15x+135
interest on 11% account=11%*x=0.11x
total interest=0.15x+135+0.11x
total interest on both accounts=0.26x+135
total interest earned=$213
213=0.26x+135
213-135=0.26x
78=0.26x
x=78/0.26
x=$300(amount invested in the 11% account)
amount invested in the 15% account=$300+$900
amount invested in the 15% account=$1200
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