SOLUTION: John invested $8000 for one year, part at 8% interest and the rest at 10%. If John earned $700 in interest, how much is in each account?

Algebra.Com
Question 529205: John invested $8000 for one year, part at 8% interest and the rest at 10%. If John earned $700 in interest, how much is in each account?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = amount invested @ 8%
Let = amount invested @ 10%
given:
(1)
(2)
-----------------
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
$5,000 is the amount invested @ 8%
$3,000 is the amount invested @ 10%
check answer:
(2)
(2)
(2)
(2)
OK

RELATED QUESTIONS

John invested $7000 for one year. He invested part of it at 8% and the rest at 12%. At... (answered by Mathtut)
A total of $2000 was invested: part at 8% and the rest at 12% per year. If after one... (answered by macston)
You invested $8000, part at 5% and part at 6%. The total interest earned in one year what (answered by checkley77)
Please hep me solve this word problem. A total of $8000 dollars is invested for one year, (answered by solver91311)
John invested $10,000, part at 5% and the rest at 6.5% interest. How much did he invest... (answered by richwmiller)
John invested a portion of $15,000 at 10% annual interest and the rest at 6% annual... (answered by mananth,lmeeks54)
John invests $6000, part at 12% interest and part at 8%. If he earned a total of $660 in... (answered by Tatiana_Stebko)
Kate invested $9,000 one year ago. part of the money was invested at 6% and the rest at... (answered by Mathtut)
# 9. Mike invested $7000 for one year. He invested part of it at 8% and the rest at 12%. (answered by jim_thompson5910)