SOLUTION: Helen Weller invested $11,000. Part of it was invested a 5% interest and the rest was invested at 4% interest. How much was invested at each rate if $520 was earned in interest the

Algebra.Com
Question 501884: Helen Weller invested $11,000. Part of it was invested a 5% interest and the rest was invested at 4% interest. How much was invested at each rate if $520 was earned in interest the first year?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = amount invested @ 5%
Let = amount invested @ 4%
given:
(1)
(2)
--------------------
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(2)
$8,000 was invested @ 5% and $3,000 was invested @ 4%
check answer:
(2)
(2)
(2)
(2)
OK

RELATED QUESTIONS

A total of $12,000 was invested. Part of the money was invested at 4% and the rest... (answered by checkley79)
a) A total of $40,000 was invested, part of it at 12% interest and the remainder at 15%. (answered by greenestamps)
Walt made an extra $10,000 last year from a part-time job. He invested part of the money... (answered by ikleyn,greenestamps)
debra invested $18000.Part of it was invested at 3% annual simple interest, and the rest... (answered by mananth,robertb)
Part of a $8, 000 inheritance was invested at 10% interest and the rest was in- vested at (answered by stanbon)
I invested $18,000. Part of it was invested at 3% annual simple interst and the rest was (answered by KnightOwlTutor)
Ethan invested $19,000 for 1 year, part at 11% simple interest and part at 13% simple... (answered by ikleyn,mananth,Edwin McCravy,greenestamps)
Bob invested $24000. He invested part of it at 8% interest per year and the rest at 10%... (answered by richwmiller,greenestamps)
Part of $6,000 was invested at 10% interest and the rest at 12%. If the annual income... (answered by greenestamps)