Xandra spent some of her money on a coat, a pair of sneakers and some rings. She spent ¹₆ of her money and an additional $118 on a coat. Next, she spent ⁵₇ of the remaining money and an additional $22 on a pair of sneakers. Finally, she spent ⁴₅ of what she had left on some rings and had $8 left. How much did Xandra have at first?
Fraction of the money that she had left
= 1 - ⁴₅ 
= ¹₅

¹₅ of the money she had left = 8
⁵₅ of the money she had left = 5 x 8 = 40

Fraction of the remaining money excluding the additional $22 spent on a pair of sneakers
= 1 - ⁵₇
= ²₇

²₇ of the remaining money = 40 + 22 = 62
¹₇ of the remaining money = 62 ÷ 2 = 31
⁷₇ of the remaining money = 7 x 31 = 217

Fraction of the total money excluding the additional $118 spent on the coat
= 1 - ¹₆
= ⁵₆

⁵₆ of total money = 217 + 118 = 335
¹₆ of total money = 335 ÷ 5 = 67
⁶₆ of total money = 6 x 67 = 402

Amount that Xandra had at first = $402

Answer(s): $402