Posted by gaurav on Saturday, October 29, 2011 at 2:10am.
Let X be the amount invested at 13% interest
Let Y be the amount invested at 7% interest
0.13X + 0.07 Y = 6500 (maximum without financial aid penalty)
X + Y = 55,000
0.13X + 0.13Y = 7150
0.06Y = 650
Y = 10,833.33 at 7%
X = 44,166.67 at 13%
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