Jean spent some of her money on a sweater, a pair of ballet shoes and some rings. She spent ¹₃ of her money and an additional $244 on a sweater. Next, she spent ⁵₇ of the remaining money and an additional $16 on a pair of ballet shoes. Finally, she spent ³₄ of what she had left on some rings and had $2 left. How much did Jean have at first?
Fraction of the money that she had left
= 1 - ³₄ 
= ¹₄

¹₄ of the money she had left = 2
⁴₄ of the money she had left = 4 x 2 = 8

Fraction of the remaining money excluding the additional $16 spent on a pair of ballet shoes
= 1 - ⁵₇
= ²₇

²₇ of the remaining money = 8 + 16 = 24
¹₇ of the remaining money = 24 ÷ 2 = 12
⁷₇ of the remaining money = 7 x 12 = 84

Fraction of the total money excluding the additional $244 spent on the sweater
= 1 - ¹₃
= ²₃

²₃ of total money = 84 + 244 = 328
¹₃ of total money = 328 ÷ 2 = 164
³₃ of total money = 3 x 164 = 492

Amount that Jean had at first = $492

Answer(s): $492