SOLUTION: the balences of two investments are changing at steady rates. one investment of $1450 is decreasing by $105.75 each month. the other investment of $825 is increasing by $144.25 eac

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Question 116525: the balences of two investments are changing at steady rates. one investment of $1450 is decreasing by $105.75 each month. the other investment of $825 is increasing by $144.25 each month. write and solve an equation to find how many months it takes the balances of the investments to be the same.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the balances of two investments are changing at steady rates.
one investment of $1450 is decreasing by $105.75 each month.
EQUATION:
Balance = 1450 - 105.75x where "x" is the number of months.
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the other investment of $825 is increasing by $144.25 each month
Balance = 825 + 144.25x where x is the number of months
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write and solve an equation to find how many months it takes the balances of the investments to be the same.
EQUATION:
1450-105.75x = 825+144.25x
625 = 250 x
x = 2.5 months
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Cheers,
Stan H.