SOLUTION: A combined total of $45,000 is invested in two bonds that pay 2% and 6.5% simple interest. The annual interest is $2,340.00. How much is invested in each bond? The amount invest

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Question 1160430: A combined total of $45,000 is invested in two bonds that pay 2% and 6.5% simple interest. The annual interest is $2,340.00. How much is invested in each bond?
The amount invested at 2% is $ .
The amount invested at 6.5% is $ .
Answer by mananth(16946) About Me  (Show Source):
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x Amount @6.3% 2.0%
y Amount @ 17 % 6.5%


1.00 x + 1.00 y = 45000.00

2%x+6.5%y=2340
Multiply equation by 100
2.00 x + 6.500 y = 234000.00 .............2
Eliminate y
multiply (1)by -6.50
Multiply (2) by 1.00
-6.50 x -6.50 y = -292500.00
2.00 x 6.50 y = 234000.00
Add the two equations
-4.50 x = -58500.00
/ -4.50
x = 13000.00
plug value of x in (1)
1 x + 1 y = 45000.00
13000.00 + 1.00 y = 45000.00
y = 32000.00
y = 32000.00

13000.00 Amount @ 2.00%
32000.00 Amount @ 6.50%