Zoe spent some of her money on a dress, a pair of boots and some necklaces. She spent ¹₆ of her money and an additional $150 on a dress. Next, she spent ³₇ of the remaining money and an additional $60 on a pair of boots. Finally, she spent ⁵₆ of what she had left on some necklaces and had $20 left. How much did Zoe have at first?
Fraction of the money that she had left
= 1 - ⁵₆ 
= ¹₆

¹₆ of the money she had left = 20
⁶₆ of the money she had left = 6 x 20 = 120

Fraction of the remaining money excluding the additional $60 spent on a pair of boots
= 1 - ³₇
= ⁴₇

⁴₇ of the remaining money = 120 + 60 = 180
¹₇ of the remaining money = 180 ÷ 4 = 45
⁷₇ of the remaining money = 7 x 45 = 315

Fraction of the total money excluding the additional $150 spent on the dress
= 1 - ¹₆
= ⁵₆

⁵₆ of total money = 315 + 150 = 465
¹₆ of total money = 465 ÷ 5 = 93
⁶₆ of total money = 6 x 93 = 558

Amount that Zoe had at first = $558

Answer(s): $558