SOLUTION: A retiring pilot has $8,600 to invest. He invested part of it in bonds getting 5% interest, and the remainder in mortgage, getting 8% interest. Find the investment at each rate if

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Question 330049: A retiring pilot has $8,600 to invest. He invested part of it in bonds getting 5% interest, and the remainder in mortgage, getting 8% interest. Find the investment at each rate if the total interest in a year is $600.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the amount in bonds, B the amount in mortgage.
1A%2BB=8600
2.5A%2B8B=60000
From eq. 1,
A=8600-B
Substitute into eq. 2,
5%288600-B%29%2B8B=60000
43000-5B%2B8B=60000
3B=17000
B=5666.67
Then from eq. 1,
A%2B5666.67=8600
A=2933.33