SOLUTION: Chad invests a total of $24,000 in two accounts. The first account earned a rate of return of 12% (after a year). However, the second account suffered a 3% loss in the same time pe

Algebra.Com
Question 1020847: Chad invests a total of $24,000 in two accounts. The first account earned a rate of return of 12% (after a year). However, the second account suffered a 3% loss in the same time period. At the end of one year, the total amount of money gained was $1,830.00. How much was invested into each account?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Chad invests a total of $24,000 in two accounts. The first account earned a rate of return of 12% (after a year). However, the second account suffered a 3% loss in the same time period. At the end of one year, the total amount of money gained was $1,830.00. How much was invested into each account?
-------
Quantity:: w + t = 24000
Interest:: 12w - 3t = 183000
-----------------------------------
Modify for elimination::
3w + 3t = 72000
12w- 3t = 183000
----------------------
15w = 255000
----
w = $17000 (amt. invested at 12%)
t = 24000-17000 = $7000 (amt. invested at 3%)
------------
Cheers,
Stan H.
------------

RELATED QUESTIONS

Katy invests in a total of $24,000 in two accounts. The first account earned a rate of... (answered by VFBundy)
Dilbert invests a total of $15,500 in two accounts. The first account earned a rate of... (answered by lwsshak3)
Joy invests a total of $16,000 in two accounts. The first account earned a rate of return (answered by ikleyn)
Alewuya invests a total of $24,500 in two accounts. The first account earned a rate of... (answered by stanbon)
James invests a total of $23,000 into accounts. The first account earned a rate of return (answered by math_tutor2020)
Melanie invests a total of $17,500 in two accounts. The first account earned a rate of... (answered by josmiceli)
Kristina invests a total of $19,500 in two accounts. The first account earned a rate of... (answered by mananth)
Chris invests a total of $4,500 in two accounts. The first account earned a rate of... (answered by ikleyn)
Joy invests a total of $3,500 in two accounts. The first account earned a rate of return... (answered by ikleyn)