Min spent some of her money on a coat, a pair of floaters and some necklaces. She spent ¹₇ of her money and an additional $118 on a coat. Next, she spent ⁵₇ of the remaining money and an additional $16 on a pair of floaters. Finally, she spent ⁵₆ of what she had left on some necklaces and had $18 left. How much did Min have at first?
Fraction of the money that she had left
= 1 - ⁵₆ 
= ¹₆

¹₆ of the money she had left = 18
⁶₆ of the money she had left = 6 x 18 = 108

Fraction of the remaining money excluding the additional $16 spent on a pair of floaters
= 1 - ⁵₇
= ²₇

²₇ of the remaining money = 108 + 16 = 124
¹₇ of the remaining money = 124 ÷ 2 = 62
⁷₇ of the remaining money = 7 x 62 = 434

Fraction of the total money excluding the additional $118 spent on the coat
= 1 - ¹₇
= ⁶₇

⁶₇ of total money = 434 + 118 = 552
¹₇ of total money = 552 ÷ 6 = 92
⁷₇ of total money = 7 x 92 = 644

Amount that Min had at first = $644

Answer(s): $644