Raeann spent some of her money on a blazer, a pair of floaters and some rings. She spent ¹₄ of her money and an additional $300 on a blazer. Next, she spent ⁵₇ of the remaining money and an additional $14 on a pair of floaters. Finally, she spent ³₄ of what she had left on some rings and had $7 left. How much did Raeann 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 $14 spent on a pair of floaters
= 1 - ⁵₇
= ²₇

²₇ of the remaining money = 28 + 14 = 42
¹₇ of the remaining money = 42 ÷ 2 = 21
⁷₇ of the remaining money = 7 x 21 = 147

Fraction of the total money excluding the additional $300 spent on the blazer
= 1 - ¹₄
= ³₄

³₄ of total money = 147 + 300 = 447
¹₄ of total money = 447 ÷ 3 = 149
⁴₄ of total money = 4 x 149 = 596

Amount that Raeann had at first = $596

Answer(s): $596