[
  "Set up an equation: (1/3) * Lay Kim = (4/9) * Peggy. Let L = Lay Kim's money, P = Peggy's money.",
  "To clear fractions, multiply both sides by 9: 3L = 4P. Then solve for P in terms of L.",
  "P = (3/4)L, so Peggy's money is 3/4 of Lay Kim's money."
]