Natalie spent some of her money on a jumpsuit, a pair of sandals and some necklaces. She spent ¹₄ of her money and an additional $201 on a jumpsuit. Next, she spent ³₇ of the remaining money and an additional $78 on a pair of sandals. Finally, she spent ⁵₆ of what she had left on some necklaces and had $17 left. How much did Natalie have at first?
Fraction of the money that she had left
= 1 - ⁵₆ 
= ¹₆

¹₆ of the money she had left = 17
⁶₆ of the money she had left = 6 x 17 = 102

Fraction of the remaining money excluding the additional $78 spent on a pair of sandals
= 1 - ³₇
= ⁴₇

⁴₇ of the remaining money = 102 + 78 = 180
¹₇ of the remaining money = 180 ÷ 4 = 45
⁷₇ of the remaining money = 7 x 45 = 315

Fraction of the total money excluding the additional $201 spent on the jumpsuit
= 1 - ¹₄
= ³₄

³₄ of total money = 315 + 201 = 516
¹₄ of total money = 516 ÷ 3 = 172
⁴₄ of total money = 4 x 172 = 688

Amount that Natalie had at first = $688

Answer(s): $688