Kimberly spent some of her money on a vest, a pair of loafers and some necklaces. She spent ¹₇ of her money and an additional $161 on a vest. Next, she spent ³₇ of the remaining money and an additional $46 on a pair of loafers. Finally, she spent ²₃ of what she had left on some necklaces and had $10 left. How much did Kimberly have at first?
Fraction of the money that she had left
= 1 - ²₃ 
= ¹₃

¹₃ of the money she had left = 10
³₃ of the money she had left = 3 x 10 = 30

Fraction of the remaining money excluding the additional $46 spent on a pair of loafers
= 1 - ³₇
= ⁴₇

⁴₇ of the remaining money = 30 + 46 = 76
¹₇ of the remaining money = 76 ÷ 4 = 19
⁷₇ of the remaining money = 7 x 19 = 133

Fraction of the total money excluding the additional $161 spent on the vest
= 1 - ¹₇
= ⁶₇

⁶₇ of total money = 133 + 161 = 294
¹₇ of total money = 294 ÷ 6 = 49
⁷₇ of total money = 7 x 49 = 343

Amount that Kimberly had at first = $343

Answer(s): $343