Lynn spent some of her money on a coat, a pair of floaters and some rings. She spent ¹₄ of her money and an additional $146 on a coat. Next, she spent ⁵₈ of the remaining money and an additional $90 on a pair of floaters. Finally, she spent ²₃ of what she had left on some rings and had $2 left. How much did Lynn have at first?
Fraction of the money that she had left
= 1 - ²₃ 
= ¹₃

¹₃ of the money she had left = 2
³₃ of the money she had left = 3 x 2 = 6

Fraction of the remaining money excluding the additional $90 spent on a pair of floaters
= 1 - ⁵₈
= ³₈

³₈ of the remaining money = 6 + 90 = 96
¹₈ of the remaining money = 96 ÷ 3 = 32
⁸₈ of the remaining money = 8 x 32 = 256

Fraction of the total money excluding the additional $146 spent on the coat
= 1 - ¹₄
= ³₄

³₄ of total money = 256 + 146 = 402
¹₄ of total money = 402 ÷ 3 = 134
⁴₄ of total money = 4 x 134 = 536

Amount that Lynn had at first = $536

Answer(s): $536