SOLUTION: bob has $15000 to invest. he plans to invest part at 8%, with the remainder invested at 10%. find the amount invested at each rate if the total annual interest income is 1300

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Question 965284: bob has $15000 to invest. he plans to invest part at 8%, with the remainder invested at 10%. find the amount invested at each rate if the total annual interest income is 1300
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
0.08X%2B0.10Y=1300
8X%2B10Y=130000
.
.
X%2BY=15000
Multiply the second equation by 8 and subtract from the first equation,
8X%2B10Y-8X-8Y=130000-120000
2Y=10000
Y=5000
X%2B5000=10000
$10000 at 8%, $5000 at 10%