Fiona spent some of her money on a dress, a pair of trainers and some rings. She spent ¹₃ of her money and an additional $178 on a dress. Next, she spent ⁵₈ of the remaining money and an additional $90 on a pair of trainers. Finally, she spent ⁵₆ of what she had left on some rings and had $19 left. How much did Fiona have at first?
Fraction of the money that she had left
= 1 - ⁵₆ 
= ¹₆

¹₆ of the money she had left = 19
⁶₆ of the money she had left = 6 x 19 = 114

Fraction of the remaining money excluding the additional $90 spent on a pair of trainers
= 1 - ⁵₈
= ³₈

³₈ of the remaining money = 114 + 90 = 204
¹₈ of the remaining money = 204 ÷ 3 = 68
⁸₈ of the remaining money = 8 x 68 = 544

Fraction of the total money excluding the additional $178 spent on the dress
= 1 - ¹₃
= ²₃

²₃ of total money = 544 + 178 = 722
¹₃ of total money = 722 ÷ 2 = 361
³₃ of total money = 3 x 361 = 1083

Amount that Fiona had at first = $1083

Answer(s): $1083