Question 1137064
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Here is a COMPLETELY different method for solving a problem like this.  It is essentially a mixture problem -- you are mixing investments at two different rates and getting a yield that is somewhere between those two rates.<br>
The key to this method of solving mixture problems is that the ratio in which the two parts are mixed exactly determines where the overall percentage lies.<br>
Here are all the simple steps required to solve the problem by this method:<br>
(1) Find what the returns would be if all the money were invested at each rate:
$25,000 at 5% yields $1250; $25,000 at 6% yields $1500.<br>
(2) Find where the actual yield lies between those two extremes:
1500-1250 = 250; 1440-1250 = 190; 190/250 = 19/25
The actual yield is 19/25 of the way from $1250 to $1500.<br>
(3) That means 19/25 of the total is invested at the higher rate:
ANSWER: (19/25)*$25,000 = $19,000 at 6%; the rest, $6,000, at 5%.