Olivia spent some of her money on a jacket, a pair of moccasins and some rings. She spent ¹₅ of her money and an additional $236 on a jacket. Next, she spent ³₅ of the remaining money and an additional $56 on a pair of moccasins. Finally, she spent ⁵₆ of what she had left on some rings and had $4 left. How much did Olivia have at first?
Fraction of the money that she had left
= 1 - ⁵₆ 
= ¹₆

¹₆ of the money she had left = 4
⁶₆ of the money she had left = 6 x 4 = 24

Fraction of the remaining money excluding the additional $56 spent on a pair of moccasins
= 1 - ³₅
= ²₅

²₅ of the remaining money = 24 + 56 = 80
¹₅ of the remaining money = 80 ÷ 2 = 40
⁵₅ of the remaining money = 5 x 40 = 200

Fraction of the total money excluding the additional $236 spent on the jacket
= 1 - ¹₅
= ⁴₅

⁴₅ of total money = 200 + 236 = 436
¹₅ of total money = 436 ÷ 4 = 109
⁵₅ of total money = 5 x 109 = 545

Amount that Olivia had at first = $545

Answer(s): $545