<PRE><B>Question 1122870</B>
&lt;br&gt;
Algebraically....&lt;br&gt;
Let x be the amount invested at 3%.  Then&lt;br&gt;
{{{(.03)(x)+(.10)(4000) = (.05)(4000+x)}}}&lt;br&gt;
You can do the algebra to get the answer.&lt;br&gt;
If an algebraic solution is not required, here is a much faster way to solve a problem like this.&lt;br&gt;
The ratio between the amounts invested in the two places exactly determines where the overall percentage return lies between the two individual percentages.&lt;br&gt;
The 5% return is 5% away from 10% and 2% away from 3%.  That ratio 5:2 means the money must be split in the ratio 5:2.  And since the overall return is close to 3% than to 10%, the larger amount needs to be invested at 3%.&lt;br&gt;
So if x is the amount invested at 3%, we have a proportion:&lt;br&gt;
{{{5:2 = x:4000}}}&lt;br&gt;
or&lt;br&gt;
{{{5/2 = x/4000}}}
{{{2x = 20000}}}
{{{x = 10000}}}&lt;br&gt;
She invested $10000 in investment B.&lt;br&gt;
CHECK:&lt;br&gt;
10% of $4000 = $400
3% of $10000 = $300
Total $400+$300 = $700&lt;br&gt;
5% of $14000 = $700&lt;br&gt;
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