Elyse spent some of her money on a sweater, a pair of trainers and some bracelets. She spent ¹₆ of her money and an additional $136 on a sweater. Next, she spent ⁵₇ of the remaining money and an additional $34 on a pair of trainers. Finally, she spent ²₃ of what she had left on some bracelets and had $10 left. How much did Elyse have at first?
Fraction of the money that she had left
= 1 - ²₃ 
= ¹₃

¹₃ of the money she had left = 10
³₃ of the money she had left = 3 x 10 = 30

Fraction of the remaining money excluding the additional $34 spent on a pair of trainers
= 1 - ⁵₇
= ²₇

²₇ of the remaining money = 30 + 34 = 64
¹₇ of the remaining money = 64 ÷ 2 = 32
⁷₇ of the remaining money = 7 x 32 = 224

Fraction of the total money excluding the additional $136 spent on the sweater
= 1 - ¹₆
= ⁵₆

⁵₆ of total money = 224 + 136 = 360
¹₆ of total money = 360 ÷ 5 = 72
⁶₆ of total money = 6 x 72 = 432

Amount that Elyse had at first = $432

Answer(s): $432