Question 1125419
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I see the instructions say to set up equations and solve for full credit....<br>
However, if an algebraic solution is not required for a problem like this, here is a method for solving problems like this which, if you understand it, will get you to the answer much faster and with far less work than the usual formal algebraic method.  A problem like this takes me about 10 seconds to solve mentally using this method.<br>
(1) The $25000 all at 5% would earn $1250 interest; all at 6% would earn $1500 interest.
(2) $1450 is 4/5 of the way from $1250 to $1500; that means 4/5 of the money was invested at the higher rate.
(3) 4/5 of $25000 is $20000.<br>
ANSWER: $20,000 was invested at 6%; $5,000 at 5%.