Question 1129650
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Here is a solution using some logical reasoning and some mental arithmetic, instead of formal algebra.<br>
First consider the "extra" 3% that is earned on the $1900 investment.  The amount of interest there is .03($1900) = $57.<br>
The remaining amount of interest is $261-$57 = $204.  That is the amount of interest on the whole investment of $3400.  Since we have accounted for the interest from the extra 3% on the second investment, that $204 interest is now all at the lower rate.<br>
{{{204/3400 = 6/100}}} = 6%<br>
The $1500 was invested at 6%; the $1900 was invested at 6%+3% = 9%.