Emma spent some of her money on a jumpsuit, a pair of shoes and some rings. She spent ¹₅ of her money and an additional $184 on a jumpsuit. Next, she spent ⁵₇ of the remaining money and an additional $28 on a pair of shoes. Finally, she spent ⁵₆ of what she had left on some rings and had $18 left. How much did Emma have at first?
Fraction of the money that she had left
= 1 - ⁵₆ 
= ¹₆

¹₆ of the money she had left = 18
⁶₆ of the money she had left = 6 x 18 = 108

Fraction of the remaining money excluding the additional $28 spent on a pair of shoes
= 1 - ⁵₇
= ²₇

²₇ of the remaining money = 108 + 28 = 136
¹₇ of the remaining money = 136 ÷ 2 = 68
⁷₇ of the remaining money = 7 x 68 = 476

Fraction of the total money excluding the additional $184 spent on the jumpsuit
= 1 - ¹₅
= ⁴₅

⁴₅ of total money = 476 + 184 = 660
¹₅ of total money = 660 ÷ 4 = 165
⁵₅ of total money = 5 x 165 = 825

Amount that Emma had at first = $825

Answer(s): $825