Yoko spent some of her money on a sweater, a pair of slippers and some necklaces. She spent ¹₇ of her money and an additional $171 on a sweater. Next, she spent ³₅ of the remaining money and an additional $12 on a pair of slippers. Finally, she spent ⁵₆ of what she had left on some necklaces and had $5 left. How much did Yoko have at first?
Fraction of the money that she had left
= 1 - ⁵₆ 
= ¹₆

¹₆ of the money she had left = 5
⁶₆ of the money she had left = 6 x 5 = 30

Fraction of the remaining money excluding the additional $12 spent on a pair of slippers
= 1 - ³₅
= ²₅

²₅ of the remaining money = 30 + 12 = 42
¹₅ of the remaining money = 42 ÷ 2 = 21
⁵₅ of the remaining money = 5 x 21 = 105

Fraction of the total money excluding the additional $171 spent on the sweater
= 1 - ¹₇
= ⁶₇

⁶₇ of total money = 105 + 171 = 276
¹₇ of total money = 276 ÷ 6 = 46
⁷₇ of total money = 7 x 46 = 322

Amount that Yoko had at first = $322

Answer(s): $322