Question 1206260
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The other tutor has shown a good typical formal algebraic solution.<br>
For any 2-part "mixture" problem like this, there is another (informal) method that is usually faster than solving an algebraic equation.  For this problem....<br>
(1) Calculate that a return of $7000 on an investment of $50000 is a rate of 14%.
(2) Using a number line if it helps, observe/calculate that 14% is 7/8 of the way from 7% to 15%.
(3) That means 7/8 of the total $50000 needs to be invested at the higher rate.<br>
ANSWERS:  (7/8) of $50000 = $43750 at 15%; (1/8) of $50000 = $6250 at 7%<br>
CHECK: .15($43750)+.07($6250) = $6562.50+$437.50 = $7000<br>