An investment of 40,000 was made by a business club. The investment was split into three parts and lasted for one year. The first part of the investment earned 8% interest, the second 6%, and the third 9%. Total interest from the investments was 3060. The interest from the first investment was 2 times the interest from the second. Find the amounts of the three parts of the investment.

Question

supie · Answer

$$3060 = .08(2x) + .06(x) + .09(40000 - 3x)$$$$06000 = 8(2x) + 6(x) + 9(40000 - 3x)$$$$306000 = 16x + 6x + 360000 - 27x$$$$306000 = -5x + 360000$$$$5x = 54000$$$$x = 10500$$

supie · Answer

8% = $21000
6% = $10500
9% = $8500

supie · Answer

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