<PRE><B>Question 1139820</B>
&lt;br&gt;
Traditional algebraic method for solving &quot;mixture&quot; problems like this....&lt;br&gt;
x = amount at 4%
100000-x = amount at 7%&lt;br&gt;
The total earnings was 6.2% of the $100000:&lt;br&gt;
{{{.04(x)+.07(100000-x) = .062(100000)}}}&lt;br&gt;
A simple linear equation; complicated a bit by the decimals.  But the process for solving the equation from there is straightforward.&lt;br&gt;
Here is a much easier way to solve this kind of problem, if you understand it....&lt;br&gt;
(1) Find where the 6.2% earning rate lies between 4% and 7%.&lt;br&gt;
7-4 = 3; 6.2-4 = 2.2; 2.2/3 = 22/30 = 11/15.&lt;br&gt;
(2) 6.2% is 11/15 of the way from 4% to 7%; that means 11/15 of the total was invested at the higher rate.&lt;br&gt;
ANSWER: 11/15 of the $100,000 in stocks; 4/15 of the $100,000 in bonds.&lt;br&gt;
You can find the actual numbers if you need to; the problem is not very well formulated, because the two amounts turn out not to be whole numbers of dollars or even whole numbers of cents.</PRE>