Shannon spent some of her money on a coat, a pair of moccasins and some necklaces. She spent ¹₆ of her money and an additional $285 on a coat. Next, she spent ²₅ of the remaining money and an additional $27 on a pair of moccasins. Finally, she spent ³₄ of what she had left on some necklaces and had $15 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 = 15
⁴₄ of the money she had left = 4 x 15 = 60

Fraction of the remaining money excluding the additional $27 spent on a pair of moccasins
= 1 - ²₅
= ³₅

³₅ of the remaining money = 60 + 27 = 87
¹₅ of the remaining money = 87 ÷ 3 = 29
⁵₅ of the remaining money = 5 x 29 = 145

Fraction of the total money excluding the additional $285 spent on the coat
= 1 - ¹₆
= ⁵₆

⁵₆ of total money = 145 + 285 = 430
¹₆ of total money = 430 ÷ 5 = 86
⁶₆ of total money = 6 x 86 = 516

Amount that Shannon had at first = $516

Answer(s): $516