Ivory spent some of her money on a vest, a pair of shoes and some bracelets. She spent ¹₃ of her money and an additional $256 on a vest. Next, she spent ³₅ of the remaining money and an additional $15 on a pair of shoes. Finally, she spent ²₃ of what she had left on some bracelets and had $11 left. How much did Ivory have at first?
Fraction of the money that she had left
= 1 - ²₃ 
= ¹₃

¹₃ of the money she had left = 11
³₃ of the money she had left = 3 x 11 = 33

Fraction of the remaining money excluding the additional $15 spent on a pair of shoes
= 1 - ³₅
= ²₅

²₅ of the remaining money = 33 + 15 = 48
¹₅ of the remaining money = 48 ÷ 2 = 24
⁵₅ of the remaining money = 5 x 24 = 120

Fraction of the total money excluding the additional $256 spent on the vest
= 1 - ¹₃
= ²₃

²₃ of total money = 120 + 256 = 376
¹₃ of total money = 376 ÷ 2 = 188
³₃ of total money = 3 x 188 = 564

Amount that Ivory had at first = $564

Answer(s): $564