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N - Nicholes moneyM - Marys money(1) N + M = 4800 ⇒ N = 4800 - M(2) N - 800 = M - 2/5M ⇒ N - 800 = 3/5Msubtitute (1) to (2)4800 - M - 800 = 3/5M4000 - M = 3/5M-M - 3/5M = -4000-8/5M = -4000 |multiply both sides by (-5/8)M = 2500subtitute the value of M to (1)N = 4800 - 2500N = 2300Answer: Mary had at first $2500. (Nichole: $2300).
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