Victoria spent some of her money on a blouse, a pair of floaters and some bracelets. She spent ¹₆ of her money and an additional $171 on a blouse. Next, she spent ⁴₇ of the remaining money and an additional $24 on a pair of floaters. Finally, she spent ²₃ of what she had left on some bracelets and had $14 left. How much did Victoria have at first?
Fraction of the money that she had left
= 1 - ²₃ 
= ¹₃

¹₃ of the money she had left = 14
³₃ of the money she had left = 3 x 14 = 42

Fraction of the remaining money excluding the additional $24 spent on a pair of floaters
= 1 - ⁴₇
= ³₇

³₇ of the remaining money = 42 + 24 = 66
¹₇ of the remaining money = 66 ÷ 3 = 22
⁷₇ of the remaining money = 7 x 22 = 154

Fraction of the total money excluding the additional $171 spent on the blouse
= 1 - ¹₆
= ⁵₆

⁵₆ of total money = 154 + 171 = 325
¹₆ of total money = 325 ÷ 5 = 65
⁶₆ of total money = 6 x 65 = 390

Amount that Victoria had at first = $390

Answer(s): $390