Jean spent some of her money on a coat, a pair of sport shoes and some rings. She spent ¹₃ of her money and an additional $267 on a coat. Next, she spent ⁴₇ of the remaining money and an additional $21 on a pair of sport shoes. Finally, she spent ⁵₆ of what she had left on some rings and had $18 left. How much did Jean have at first?
Fraction of the money that she had left
= 1 - ⁵₆ 
= ¹₆

¹₆ of the money she had left = 18
⁶₆ of the money she had left = 6 x 18 = 108

Fraction of the remaining money excluding the additional $21 spent on a pair of sport shoes
= 1 - ⁴₇
= ³₇

³₇ of the remaining money = 108 + 21 = 129
¹₇ of the remaining money = 129 ÷ 3 = 43
⁷₇ of the remaining money = 7 x 43 = 301

Fraction of the total money excluding the additional $267 spent on the coat
= 1 - ¹₃
= ²₃

²₃ of total money = 301 + 267 = 568
¹₃ of total money = 568 ÷ 2 = 284
³₃ of total money = 3 x 284 = 852

Amount that Jean had at first = $852

Answer(s): $852