Mary spent some of her money on a coat, a pair of shoes and some bracelets. She spent ¹₄ of her money and an additional $119 on a coat. Next, she spent ⁴₇ of the remaining money and an additional $48 on a pair of shoes. Finally, she spent ²₃ of what she had left on some bracelets and had $18 left. How much did Mary have at first?
Fraction of the money that she had left
= 1 - ²₃ 
= ¹₃

¹₃ of the money she had left = 18
³₃ of the money she had left = 3 x 18 = 54

Fraction of the remaining money excluding the additional $48 spent on a pair of shoes
= 1 - ⁴₇
= ³₇

³₇ of the remaining money = 54 + 48 = 102
¹₇ of the remaining money = 102 ÷ 3 = 34
⁷₇ of the remaining money = 7 x 34 = 238

Fraction of the total money excluding the additional $119 spent on the coat
= 1 - ¹₄
= ³₄

³₄ of total money = 238 + 119 = 357
¹₄ of total money = 357 ÷ 3 = 119
⁴₄ of total money = 4 x 119 = 476

Amount that Mary had at first = $476

Answer(s): $476