Jane spent some of her money on a skirt, a pair of boots and some bracelets. She spent ¹₃ of her money and an additional $206 on a skirt. Next, she spent ³₅ of the remaining money and an additional $54 on a pair of boots. Finally, she spent ⁵₆ of what she had left on some bracelets and had $7 left. How much did Jane have at first?
Fraction of the money that she had left
= 1 - ⁵₆ 
= ¹₆

¹₆ of the money she had left = 7
⁶₆ of the money she had left = 6 x 7 = 42

Fraction of the remaining money excluding the additional $54 spent on a pair of boots
= 1 - ³₅
= ²₅

²₅ of the remaining money = 42 + 54 = 96
¹₅ of the remaining money = 96 ÷ 2 = 48
⁵₅ of the remaining money = 5 x 48 = 240

Fraction of the total money excluding the additional $206 spent on the skirt
= 1 - ¹₃
= ²₃

²₃ of total money = 240 + 206 = 446
¹₃ of total money = 446 ÷ 2 = 223
³₃ of total money = 3 x 223 = 669

Amount that Jane had at first = $669

Answer(s): $669