Tammy spent some of her money on a skirt, a pair of trainers and some necklaces. She spent ¹₇ of her money and an additional $166 on a skirt. Next, she spent ⁴₇ of the remaining money and an additional $78 on a pair of trainers. Finally, she spent ⁵₆ of what she had left on some necklaces and had $3 left. How much did Tammy have at first?
Fraction of the money that she had left
= 1 - ⁵₆ 
= ¹₆

¹₆ of the money she had left = 3
⁶₆ of the money she had left = 6 x 3 = 18

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

³₇ of the remaining money = 18 + 78 = 96
¹₇ of the remaining money = 96 ÷ 3 = 32
⁷₇ of the remaining money = 7 x 32 = 224

Fraction of the total money excluding the additional $166 spent on the skirt
= 1 - ¹₇
= ⁶₇

⁶₇ of total money = 224 + 166 = 390
¹₇ of total money = 390 ÷ 6 = 65
⁷₇ of total money = 7 x 65 = 455

Amount that Tammy had at first = $455

Answer(s): $455