Min spent some of her money on a jumpsuit, a pair of shoes and some rings. She spent ¹₆ of her money and an additional $100 on a jumpsuit. Next, she spent ³₇ of the remaining money and an additional $22 on a pair of shoes. Finally, she spent ⁵₆ of what she had left on some rings and had $3 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 = 3
⁶₆ of the money she had left = 6 x 3 = 18

Fraction of the remaining money excluding the additional $22 spent on a pair of shoes
= 1 - ³₇
= ⁴₇

⁴₇ of the remaining money = 18 + 22 = 40
¹₇ of the remaining money = 40 ÷ 4 = 10
⁷₇ of the remaining money = 7 x 10 = 70

Fraction of the total money excluding the additional $100 spent on the jumpsuit
= 1 - ¹₆
= ⁵₆

⁵₆ of total money = 70 + 100 = 170
¹₆ of total money = 170 ÷ 5 = 34
⁶₆ of total money = 6 x 34 = 204

Amount that Min had at first = $204

Answer(s): $204