Jane spent some of her money on a windbreaker, a pair of floaters and some necklaces. She spent ¹₃ of her money and an additional $145 on a windbreaker. Next, she spent ²₇ of the remaining money and an additional $35 on a pair of floaters. Finally, she spent ⁴₅ of what she had left on some necklaces and had $8 left. How much did Jane have at first?
Fraction of the money that she had left
= 1 - ⁴₅ 
= ¹₅

¹₅ of the money she had left = 8
⁵₅ of the money she had left = 5 x 8 = 40

Fraction of the remaining money excluding the additional $35 spent on a pair of floaters
= 1 - ²₇
= ⁵₇

⁵₇ of the remaining money = 40 + 35 = 75
¹₇ of the remaining money = 75 ÷ 5 = 15
⁷₇ of the remaining money = 7 x 15 = 105

Fraction of the total money excluding the additional $145 spent on the windbreaker
= 1 - ¹₃
= ²₃

²₃ of total money = 105 + 145 = 250
¹₃ of total money = 250 ÷ 2 = 125
³₃ of total money = 3 x 125 = 375

Amount that Jane had at first = $375

Answer(s): $375