Yoko spent some of her money on a dress, a pair of slippers and some necklaces. She spent ¹₃ of her money and an additional $224 on a dress. Next, she spent ³₇ of the remaining money and an additional $38 on a pair of slippers. Finally, she spent ⁵₆ of what she had left on some necklaces and had $7 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 = 7
⁶₆ of the money she had left = 6 x 7 = 42

Fraction of the remaining money excluding the additional $38 spent on a pair of slippers
= 1 - ³₇
= ⁴₇

⁴₇ of the remaining money = 42 + 38 = 80
¹₇ of the remaining money = 80 ÷ 4 = 20
⁷₇ of the remaining money = 7 x 20 = 140

Fraction of the total money excluding the additional $224 spent on the dress
= 1 - ¹₃
= ²₃

²₃ of total money = 140 + 224 = 364
¹₃ of total money = 364 ÷ 2 = 182
³₃ of total money = 3 x 182 = 546

Amount that Yoko had at first = $546

Answer(s): $546