Jean spent some of her money on a dress, a pair of sneakers and some rings. She spent ¹₃ of her money and an additional $200 on a dress. Next, she spent ²₅ of the remaining money and an additional $78 on a pair of sneakers. Finally, she spent ⁵₆ of what she had left on some rings and had $18 left. How much did Jean have at first?
Fraction of the money that she had left
= 1 - ⁵₆ 
= ¹₆

¹₆ of the money she had left = 18
⁶₆ of the money she had left = 6 x 18 = 108

Fraction of the remaining money excluding the additional $78 spent on a pair of sneakers
= 1 - ²₅
= ³₅

³₅ of the remaining money = 108 + 78 = 186
¹₅ of the remaining money = 186 ÷ 3 = 62
⁵₅ of the remaining money = 5 x 62 = 310

Fraction of the total money excluding the additional $200 spent on the dress
= 1 - ¹₃
= ²₃

²₃ of total money = 310 + 200 = 510
¹₃ of total money = 510 ÷ 2 = 255
³₃ of total money = 3 x 255 = 765

Amount that Jean had at first = $765

Answer(s): $765