Question 1164206
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The setup for solving the problem shown by the other tutor is a good example of how to solve a problem using formal algebra.  You should understand how to use that method.<br>
If a formal algebraic method is not required, here is a solution method that is almost trivial.<br>
The target return rate, 15%, is 7/10 of the way from 8% to 18%.  (8 to 15 is a difference of 7; 8 to 18 is a difference of 10.)<br>
Therefore, 7/10 of the total needs to be invested at the higher rate.<br>
ANSWER: 7/10 of the $70,000, or 49,000, at 18%; the other $21,000 at 8%.<br>
CHECK:
0.18(49000)+0.08(21000) = 8820+1680 = 10500
0.15(70000) = 10500<br>