Question 1135652
<br>
Here is a quick and easy alternative to the traditional algebraic method for solving mixture problems like this.<br>
(1) $470 interest on $10,000 is an interest rate of 4.7%.<br>
(2) 4.7% is 7/10 of the way from 4% to 5%.  (It might help you see what that says if you think of the three percentages on a number line.)<br>
(3) Therefore, 7/10 of the $10,000, or $7,000, was invested at the higher rate.<br>
ANSWER: $7000 at 5%; $3000 at 4%.<br>
CHECK: .05(7000)+.04(3000) = 350+120 = 470