Marion spent some of her money on a blouse, a pair of moccasins and some rings. She spent ¹₄ of her money and an additional $128 on a blouse. Next, she spent ³₅ of the remaining money and an additional $88 on a pair of moccasins. Finally, she spent ²₃ of what she had left on some rings and had $16 left. How much did Marion have at first?
Fraction of the money that she had left
= 1 - ²₃ 
= ¹₃

¹₃ of the money she had left = 16
³₃ of the money she had left = 3 x 16 = 48

Fraction of the remaining money excluding the additional $88 spent on a pair of moccasins
= 1 - ³₅
= ²₅

²₅ of the remaining money = 48 + 88 = 136
¹₅ of the remaining money = 136 ÷ 2 = 68
⁵₅ of the remaining money = 5 x 68 = 340

Fraction of the total money excluding the additional $128 spent on the blouse
= 1 - ¹₄
= ³₄

³₄ of total money = 340 + 128 = 468
¹₄ of total money = 468 ÷ 3 = 156
⁴₄ of total money = 4 x 156 = 624

Amount that Marion had at first = $624

Answer(s): $624