SOLUTION: $20,287 is invested, part at 12% and the rest at 9%. If the interest earned from the amount invested at 12% exceeds the interest earned from the amount invested at 9% by $492.99, h

Question 929423: $20,287 is invested, part at 12% and the rest at 9%. If the interest earned from the amount invested at 12% exceeds the interest earned from the amount invested at 9% by $492.99, how much is invested at each rate? (Round to two decimal places if necessary.)
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = amount invested at 12%
y = amount invested at 9%
---
x + y = 20287
0.12x = 0.09y + 492.99
---
put the system of linear equations into standard form
---
x + y = 20287
0.12x - 0.09y = 492.99
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = amount invested at 12% = 11042
y = amount invested at 9% = 9245
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
---

RELATED QUESTIONS
$9,609 is invested, part at 12% and the rest at 5%. If the interest earned from the... (answered by richwmiller)

$19187 is invested, part at 9% and the rest at 8%. If the interest earned from the amount (answered by rwm)

26,876 is invested, part at 9% and the rest at 5%. If the interest earned from the amount (answered by mananth)

$20,862 is invested, part at 9% and the rest at 7%. If the interest earned from the... (answered by addingup)

17,818 is invested, part at 11% and the rest at 6%. if the interest earned from the... (answered by richwmiller)

$12,305 is invested, part at 10% and the rest at 8%. If the interest earned from the... (answered by mananth)

$6,446 is invested, part at 13% and the rest at 10%. If the interest earned from the... (answered by Theo)

$12,312 is invested, part at 14% and the rest at 10%. If the interest earned from the... (answered by josgarithmetic)

$12,968 is invested, part at 7% and the rest at the Interest earned from the amount... (answered by ikleyn)