SOLUTION: Sarah invests money in two simple interest accounts. She invests twice as much in an account paying 12% as she does in an account paying 6%. If she earns $97.50 in interest in one

Question 953992: Sarah invests money in two simple interest accounts. She invests twice as much in an account paying 12% as she does in an account paying 6%. If she earns $97.50 in interest in one year from both accounts combined, how much did she invest altogether?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Sarah invests money in two simple interest accounts. She invests twice as much in an account paying 12% as she does in an account paying 6%. If she earns $97.50 in interest in one year from both accounts combined, how much did she invest altogether?
------------------
Equations:
Quantity Eq:: t = 2s
Interest Eq:: 0.12t + 0.06s = 97.5
------------------------
Modify and substitute:
0.24s + 0.06s = 97.50
----
30s = 9750
s = $325.00 (amt. invested at 6%)
t = 2s = $650.00 (amt. invested at 12%)
---------------
Cheers,
Stan H.
============

RELATED QUESTIONS
Sarah invests money in two simple interest accounts. She invests four times as much in an (answered by fractalier)

Javier invests money in two simple interest accounts. He invests twice as much in an... (answered by JThomson,addingup)

Javier invests money in two accounts. He invests twice as much in an account paying 10%... (answered by mananth)

Javier invests money in two simple interest accounts. He invests four times as much in an (answered by stanbon)

Javier invests money in two simple interest accounts. He invests three times as much in... (answered by Boreal)

Douglas invests money in two simple interest accounts. He invests three times as much in... (answered by mananth,ikleyn,greenestamps)

Jose invests money in two simple interest accounts. He invests three times as much in an... (answered by tommyt3rd)

erica invests some money in three different accounts. she put some of it in a CD earning... (answered by ikleyn)

Jolene invests her savings in two bank accounts, one paying 5 percent and the other... (answered by ikleyn,greenestamps)