Shannon spent some of her money on a windbreaker, a pair of floaters and some bracelets. She spent ¹₃ of her money and an additional $101 on a windbreaker. Next, she spent ³₇ of the remaining money and an additional $23 on a pair of floaters. Finally, she spent ²₃ of what she had left on some bracelets and had $15 left. How much did Shannon have at first?
Fraction of the money that she had left
= 1 - ²₃ 
= ¹₃

¹₃ of the money she had left = 15
³₃ of the money she had left = 3 x 15 = 45

Fraction of the remaining money excluding the additional $23 spent on a pair of floaters
= 1 - ³₇
= ⁴₇

⁴₇ of the remaining money = 45 + 23 = 68
¹₇ of the remaining money = 68 ÷ 4 = 17
⁷₇ of the remaining money = 7 x 17 = 119

Fraction of the total money excluding the additional $101 spent on the windbreaker
= 1 - ¹₃
= ²₃

²₃ of total money = 119 + 101 = 220
¹₃ of total money = 220 ÷ 2 = 110
³₃ of total money = 3 x 110 = 330

Amount that Shannon had at first = $330

Answer(s): $330