SOLUTION: irma is going to make three investments paying 8%, 9%, and 10%. She will invest twice as much at 9% as at 8% and $1000 more at 10%. if the yearly interest from the three investment

Question 144375: irma is going to make three investments paying 8%, 9%, and 10%. She will invest twice as much at 9% as at 8% and $1000 more at 10%. if the yearly interest from the three investments is $3090 how much is invested altogether?
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
.08x+.09*2x+.10(x+1000)=3090
.08x+.18x+.10x+100=3090
.36x=3090-100
.36x=2990
x=2990/.36
x=$8305.56 amount invsted @ 8%
2*8305.56=16,611.11 invested @ 9%
9305.56+1000=90305.56 invested @ 10%
proof:
.08*8302.56+.09*16611.11+.10*9305.56=3090
664.20+1495+930.56=3090
3090~3090

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