Question 1161816
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Here is a method for solving "mixture" problems like this using logical reasoning instead of formal algebra.<br>
If you understand this method, it will get you to the answer much faster and with far less work than a formal algebraic solution.<br>
(1) The target average interest rate of 5% is "twice as close to 4.5% as it is to 6%".<br>
(If it's hard for you to see that, imagine the three numbers 4.5, 5, and 6 on a number line.  5 is twice as close to 4.5 as it is to 6.)<br>
(2) That means the amount to be invested at 4.5% is twice the amount invested at 6%.<br>
ANSWER: twice $10,000, which is $20,000.<br>