SOLUTION: A student inherited $5000. She invested part of it at 10% and the rest at 8%. If her total interest amounted to $460, how much did she invest at each rate?

Question 476439: A student inherited $5000. She invested part of it at 10% and the rest at 8%. If her
total interest amounted to $460, how much did she invest at each rate?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Investment I 10.00% per annum
Investment II 8.00% per annum

x + y 5000 ------------------------1
10.00% x + 8.00% y = $460.00
Multiply by 100
10 x + 8 y = $46,000.00 --------2

Multiply (1) by -10
we get

-10 x -10 y = -50000.00

Add this to (2)

0 x -2 y = -$4,000.00

divide by -2

y = $2,000.00 investment at 8.00%
Balance $3,000.00 investment at 10.00%
CHECK
$3,000.00 $300.00
$2,000.00 $160.00
Total $460.00

RELATED QUESTIONS
Nestor invested 5000 pesos, part of it at 3% and the rest at 5% simple interest. If the... (answered by mananth)

A total of $5000 was invested, part of it at 4% per year and the remainder at 6% per... (answered by lwsshak3)

A total of $4300 was invested, part of it at 5% interest and the remainder at 10%. If the (answered by mananth)

A total of $4000 was invested, part of it at 8% interest and the remainder at 9%. If the... (answered by checkley77)

A total of 4000 was invested,part of it at 8% interest and the remainder at 9%. if the... (answered by nyc_function)

A total of $3900 was invested, part of it at 8% interest and the remainder at 13%. If the (answered by mananth)

A total of $4000 was invested, part of it at 8% interest and the remainder at 9%. If the (answered by ewatrrr)

A total of $1500 was invested, part of it at 10% per year and the remainder at 6% per... (answered by oscargut)

A total of $4000 was invested, part of it at 8% and the remainder at 9%. If the total... (answered by jojo14344)