Xuan spent some of her money on a windbreaker, a pair of ballet shoes and some bracelets. She spent ¹₃ of her money and an additional $179 on a windbreaker. Next, she spent ⁵₇ of the remaining money and an additional $70 on a pair of ballet shoes. Finally, she spent ²₃ of what she had left on some bracelets and had $8 left. How much did Xuan have at first?
Fraction of the money that she had left
= 1 - ²₃ 
= ¹₃

¹₃ of the money she had left = 8
³₃ of the money she had left = 3 x 8 = 24

Fraction of the remaining money excluding the additional $70 spent on a pair of ballet shoes
= 1 - ⁵₇
= ²₇

²₇ of the remaining money = 24 + 70 = 94
¹₇ of the remaining money = 94 ÷ 2 = 47
⁷₇ of the remaining money = 7 x 47 = 329

Fraction of the total money excluding the additional $179 spent on the windbreaker
= 1 - ¹₃
= ²₃

²₃ of total money = 329 + 179 = 508
¹₃ of total money = 508 ÷ 2 = 254
³₃ of total money = 3 x 254 = 762

Amount that Xuan had at first = $762

Answer(s): $762