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if you call the amount of the account invested at \(6\%\) \(x\) then since the total is \(\$24,000\) the amount invested at \(11\%\) must be \[24,000-x\] the total will be \[.06x+.11(24,000-x)\] which you know is equal to \(\$1940\) set \[.06x+.11(24,000-x)=1940\] and solve for \(x\)
probably easiest to multiply both sides by \(100\) to get rid of annoying decimals and solve \[6x+11(24,000-x)=194,000\]
What happens with the negative x? I got 6x+264000=194000
Is that right?
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@satellite73
hold on let me check should not be negative
\[6x+11(24,000-x)=194,000\] \[6x+264,000-11x=194,000\] \[-5x+264,000=194,000\]
think you might have forgotten to distribute the \(11\) properly
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