Hazel spent some of her money on a skirt, a pair of sneakers and some rings. She spent ¹₇ of her money and an additional $116 on a skirt. Next, she spent ⁴₇ of the remaining money and an additional $56 on a pair of sneakers. Finally, she spent ⁴₅ of what she had left on some rings and had $20 left. How much did Hazel have at first?
Fraction of the money that she had left
= 1 - ⁴₅ 
= ¹₅

¹₅ of the money she had left = 20
⁵₅ of the money she had left = 5 x 20 = 100

Fraction of the remaining money excluding the additional $56 spent on a pair of sneakers
= 1 - ⁴₇
= ³₇

³₇ of the remaining money = 100 + 56 = 156
¹₇ of the remaining money = 156 ÷ 3 = 52
⁷₇ of the remaining money = 7 x 52 = 364

Fraction of the total money excluding the additional $116 spent on the skirt
= 1 - ¹₇
= ⁶₇

⁶₇ of total money = 364 + 116 = 480
¹₇ of total money = 480 ÷ 6 = 80
⁷₇ of total money = 7 x 80 = 560

Amount that Hazel had at first = $560

Answer(s): $560