Question 1158770
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An alternative to the standard algebraic solution method which, in this example, makes the calculations very simple....<br>
All 6000 at 3% would yield 180 interest; all at 4% would yield 240 interest.<br>
Find where the actual interest of 208 lies between 180 and 240:
240-180 = 60; 208-180 = 28
208 is 28/60 of the way from 180 to 240<br>
That means 28/60 of the total was invested at the higher rate.<br>
28/60 of the total 6000 is 2800.<br>
ANSWER: 2800 at 4%; the remaining 3200 at 3%.<br>
CHECK: .04(2800)+.03(3200) = 112+96 = 208<br>