SOLUTION: WHat are the solutions for these problems: How should Php 5000 be invested n order that the annual income from one investment at 10% shall double the income from another investm

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Question 830279: WHat are the solutions for these problems:
How should Php 5000 be invested n order that the annual income from one investment at 10% shall double the income from another investment at 15%.

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
                 |    Phps    | percent |   Annual    |
                 |   invested | decimal |   income    |
-----------------|------------|---------|-------------|
First investment |      x     |  0.10   |    0.10x    |
Second investment|   5000-x   |  0.15   | 0.15(5000-x)|
------------------------------------------------------

               %28matrix%287%2C1%2CAnnual%2Cincome%2Cof%2Cfirst%2C+investment%2C+at%2C+%2210%25%22%29%29%22%22=%22%22

                    0.10x = 2[0.15(5000-x)]
                    0.10x = 0.30(5000-x)
                    0.10x = 1500-0.30x
                    0.40x = 1500
                        x = 1500%2F0.40
                        x = 3750 

                   5000-x = 5000-3750 = 1250.

So he should invest Php3750 at 10% and Php1250 at 15%

Edwin