Nora spent some of her money on a skirt, a pair of moccasins and some rings. She spent ¹₃ of her money and an additional $178 on a skirt. Next, she spent ⁵₈ of the remaining money and an additional $12 on a pair of moccasins. Finally, she spent ²₃ of what she had left on some rings and had $12 left. How much did Nora have at first?
Fraction of the money that she had left
= 1 - ²₃ 
= ¹₃

¹₃ of the money she had left = 12
³₃ of the money she had left = 3 x 12 = 36

Fraction of the remaining money excluding the additional $12 spent on a pair of moccasins
= 1 - ⁵₈
= ³₈

³₈ of the remaining money = 36 + 12 = 48
¹₈ of the remaining money = 48 ÷ 3 = 16
⁸₈ of the remaining money = 8 x 16 = 128

Fraction of the total money excluding the additional $178 spent on the skirt
= 1 - ¹₃
= ²₃

²₃ of total money = 128 + 178 = 306
¹₃ of total money = 306 ÷ 2 = 153
³₃ of total money = 3 x 153 = 459

Amount that Nora had at first = $459

Answer(s): $459