Shannon spent some of her money on a coat, a pair of high heels and some rings. She spent ¹₅ of her money and an additional $136 on a coat. Next, she spent ⁵₈ of the remaining money and an additional $24 on a pair of high heels. Finally, she spent ²₃ of what she had left on some rings and had $9 left. How much did Shannon have at first?
Fraction of the money that she had left
= 1 - ²₃ 
= ¹₃

¹₃ of the money she had left = 9
³₃ of the money she had left = 3 x 9 = 27

Fraction of the remaining money excluding the additional $24 spent on a pair of high heels
= 1 - ⁵₈
= ³₈

³₈ of the remaining money = 27 + 24 = 51
¹₈ of the remaining money = 51 ÷ 3 = 17
⁸₈ of the remaining money = 8 x 17 = 136

Fraction of the total money excluding the additional $136 spent on the coat
= 1 - ¹₅
= ⁴₅

⁴₅ of total money = 136 + 136 = 272
¹₅ of total money = 272 ÷ 4 = 68
⁵₅ of total money = 5 x 68 = 340

Amount that Shannon had at first = $340

Answer(s): $340