SOLUTION: Bethany invested $2500, part at 8% per year and the rest at 12% interest per year. In one year, the parts earned equal amounts of interest. determine how much was invested at each

Question 98379: Bethany invested $2500, part at 8% per year and the rest at 12% interest per year. In one year, the parts earned equal amounts of interest. determine how much was invested at each rate.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Bethany invested $2500, part at 8% per year and the rest at 12% interest per year. In one year, the parts earned equal amounts of interest. determine how much was invested at each rate.
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Let amount invested at 8% be "x" ; interest on this is 0.08x dollars
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Amt left to invest is "2500-x"; interest on this is 0.12(2500-x) dollars
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EQUATION:
1st interest = 2nd interest
0.08x = 0.12(2500-x)
8x = 12(2500-x)
8x = 30000-12x
20x =30000
x = 1500 dollars (amount invested at 8%)
2500-x = 1000 dollars ( amount invested at 12%)
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Cheers,
Stan H.
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