Victoria spent some of her money on a jumpsuit, a pair of boots and some necklaces. She spent ¹₇ of her money and an additional $231 on a jumpsuit. Next, she spent ⁴₇ of the remaining money and an additional $24 on a pair of boots. Finally, she spent ²₃ of what she had left on some necklaces and had $13 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 = 13
³₃ of the money she had left = 3 x 13 = 39

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

³₇ of the remaining money = 39 + 24 = 63
¹₇ of the remaining money = 63 ÷ 3 = 21
⁷₇ of the remaining money = 7 x 21 = 147

Fraction of the total money excluding the additional $231 spent on the jumpsuit
= 1 - ¹₇
= ⁶₇

⁶₇ of total money = 147 + 231 = 378
¹₇ of total money = 378 ÷ 6 = 63
⁷₇ of total money = 7 x 63 = 441

Amount that Victoria had at first = $441

Answer(s): $441