Natalie spent some of her money on a jacket, a pair of sport shoes and some bracelets. She spent ¹₄ of her money and an additional $121 on a jacket. Next, she spent ³₅ of the remaining money and an additional $14 on a pair of sport shoes. Finally, she spent ⁵₆ of what she had left on some bracelets and had $17 left. How much did Natalie have at first?
Fraction of the money that she had left
= 1 - ⁵₆ 
= ¹₆

¹₆ of the money she had left = 17
⁶₆ of the money she had left = 6 x 17 = 102

Fraction of the remaining money excluding the additional $14 spent on a pair of sport shoes
= 1 - ³₅
= ²₅

²₅ of the remaining money = 102 + 14 = 116
¹₅ of the remaining money = 116 ÷ 2 = 58
⁵₅ of the remaining money = 5 x 58 = 290

Fraction of the total money excluding the additional $121 spent on the jacket
= 1 - ¹₄
= ³₄

³₄ of total money = 290 + 121 = 411
¹₄ of total money = 411 ÷ 3 = 137
⁴₄ of total money = 4 x 137 = 548

Amount that Natalie had at first = $548

Answer(s): $548