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3.  long strings = 6,   short strings = 9

     Therefore, fraction  =  6/9 = 2/3

4.   Gold stars         [u][u][u][u]                          At first, total = 9u

       Silver stars       [u][u][u][u][u][273]          New total = 9u + 273

       For the new total, 68% silver means 32% gold, So

       4u = 0.32(9u + 273)

       4u = 2.88u + 87.36

       1.12u = 87.36

          u = 78

     Number of stars at first = 9u = 9×78 = 702

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