Julie spent some of her money on a skirt, a pair of boots and some necklaces. She spent ¹₃ of her money and an additional $242 on a skirt. Next, she spent ⁴₇ of the remaining money and an additional $45 on a pair of boots. Finally, she spent ²₃ of what she had left on some necklaces and had $15 left. How much did Julie have at first?
Fraction of the money that she had left
= 1 - ²₃ 
= ¹₃

¹₃ of the money she had left = 15
³₃ of the money she had left = 3 x 15 = 45

Fraction of the remaining money excluding the additional $45 spent on a pair of boots
= 1 - ⁴₇
= ³₇

³₇ of the remaining money = 45 + 45 = 90
¹₇ of the remaining money = 90 ÷ 3 = 30
⁷₇ of the remaining money = 7 x 30 = 210

Fraction of the total money excluding the additional $242 spent on the skirt
= 1 - ¹₃
= ²₃

²₃ of total money = 210 + 242 = 452
¹₃ of total money = 452 ÷ 2 = 226
³₃ of total money = 3 x 226 = 678

Amount that Julie had at first = $678

Answer(s): $678