Sabrina spent some of her money on a sweater, a pair of ballet shoes and some necklaces. She spent ¹₄ of her money and an additional $270 on a sweater. Next, she spent ⁵₇ of the remaining money and an additional $86 on a pair of ballet shoes. Finally, she spent ³₄ of what she had left on some necklaces and had $16 left. How much did Sabrina have at first?
Fraction of the money that she had left
= 1 - ³₄ 
= ¹₄

¹₄ of the money she had left = 16
⁴₄ of the money she had left = 4 x 16 = 64

Fraction of the remaining money excluding the additional $86 spent on a pair of ballet shoes
= 1 - ⁵₇
= ²₇

²₇ of the remaining money = 64 + 86 = 150
¹₇ of the remaining money = 150 ÷ 2 = 75
⁷₇ of the remaining money = 7 x 75 = 525

Fraction of the total money excluding the additional $270 spent on the sweater
= 1 - ¹₄
= ³₄

³₄ of total money = 525 + 270 = 795
¹₄ of total money = 795 ÷ 3 = 265
⁴₄ of total money = 4 x 265 = 1060

Amount that Sabrina had at first = $1060

Answer(s): $1060