Pamela spent some of her money on a dress, a pair of trainers and some necklaces. She spent ¹₆ of her money and an additional $152 on a dress. Next, she spent ²₇ of the remaining money and an additional $27 on a pair of trainers. Finally, she spent ²₃ of what she had left on some necklaces and had $6 left. How much did Pamela have at first?
Fraction of the money that she had left
= 1 - ²₃ 
= ¹₃

¹₃ of the money she had left = 6
³₃ of the money she had left = 3 x 6 = 18

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

⁵₇ of the remaining money = 18 + 27 = 45
¹₇ of the remaining money = 45 ÷ 5 = 9
⁷₇ of the remaining money = 7 x 9 = 63

Fraction of the total money excluding the additional $152 spent on the dress
= 1 - ¹₆
= ⁵₆

⁵₆ of total money = 63 + 152 = 215
¹₆ of total money = 215 ÷ 5 = 43
⁶₆ of total money = 6 x 43 = 258

Amount that Pamela had at first = $258

Answer(s): $258