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Problem

The Gades Foundation and HBM Corporation are eager to donate generously to their favorite charities.
  • The Gades Foundation donated dollar sign, 250 in the first month, and each month afterward their cumulative donation total increases by dollar sign, 100.
  • The HBM Corporation donated dollar sign, 64 in the first month, and each month afterward their cumulative donation total increases by 75, percent.
In which month will the HBM Corporation's cumulative donation total first exceed the Gades Foundations' cumulative donation total?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i