Shannon spent some of her money on a jacket, a pair of boots and some necklaces. She spent ¹₇ of her money and an additional $214 on a jacket. Next, she spent ²₇ of the remaining money and an additional $12 on a pair of boots. Finally, she spent ³₄ of what she had left on some necklaces and had $7 left. How much did Shannon have at first?
Fraction of the money that she had left
= 1 - ³₄ 
= ¹₄

¹₄ of the money she had left = 7
⁴₄ of the money she had left = 4 x 7 = 28

Fraction of the remaining money excluding the additional $12 spent on a pair of boots
= 1 - ²₇
= ⁵₇

⁵₇ of the remaining money = 28 + 12 = 40
¹₇ of the remaining money = 40 ÷ 5 = 8
⁷₇ of the remaining money = 7 x 8 = 56

Fraction of the total money excluding the additional $214 spent on the jacket
= 1 - ¹₇
= ⁶₇

⁶₇ of total money = 56 + 214 = 270
¹₇ of total money = 270 ÷ 6 = 45
⁷₇ of total money = 7 x 45 = 315

Amount that Shannon had at first = $315

Answer(s): $315