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Question 1015546: Javier invests money in two simple interest accounts. He invests four times as much in an account paying 10% as he does in an account paying 5%. If he earns $191.25 in interest in one year from both accounts combined, how much did he invest altogether?
Total Principal in Both Accounts = $
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Javier invests money in two simple interest accounts. He invests four times as much in an account paying 10% as he does in an account paying 5%. If he earns $191.25 in interest in one year from both accounts combined, how much did he invest altogether?
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Equation:
t = 4f
0.10t + 0.05f = 191.25
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Modify::
t = 4f
10t + 5f = 19125
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Substitute for "t" and solve for "f"::
10(4f)+5f = 19125
45f = 19125
f = $425 (amt. invested at 5%)
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Solve for "t"::
t = 4f = $1700 (amt. invested at 10%
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Ans:: Total invested:: 425+1700 = $2125.00
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Cheers,
Stan H.
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