Yoko spent some of her money on a windbreaker, a pair of sport shoes and some necklaces. She spent ¹₃ of her money and an additional $207 on a windbreaker. Next, she spent ²₅ of the remaining money and an additional $36 on a pair of sport shoes. Finally, she spent ⁴₅ of what she had left on some necklaces and had $9 left. How much did Yoko have at first?
Fraction of the money that she had left
= 1 - ⁴₅ 
= ¹₅

¹₅ of the money she had left = 9
⁵₅ of the money she had left = 5 x 9 = 45

Fraction of the remaining money excluding the additional $36 spent on a pair of sport shoes
= 1 - ²₅
= ³₅

³₅ of the remaining money = 45 + 36 = 81
¹₅ of the remaining money = 81 ÷ 3 = 27
⁵₅ of the remaining money = 5 x 27 = 135

Fraction of the total money excluding the additional $207 spent on the windbreaker
= 1 - ¹₃
= ²₃

²₃ of total money = 135 + 207 = 342
¹₃ of total money = 342 ÷ 2 = 171
³₃ of total money = 3 x 171 = 513

Amount that Yoko had at first = $513

Answer(s): $513