Tina spent some of her money on a vest, a pair of loafers and some necklaces. She spent ¹₅ of her money and an additional $115 on a vest. Next, she spent ⁵₇ of the remaining money and an additional $36 on a pair of loafers. Finally, she spent ⁵₆ of what she had left on some necklaces and had $3 left. How much did Tina 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 $36 spent on a pair of loafers
= 1 - ⁵₇
= ²₇

²₇ of the remaining money = 18 + 36 = 54
¹₇ of the remaining money = 54 ÷ 2 = 27
⁷₇ of the remaining money = 7 x 27 = 189

Fraction of the total money excluding the additional $115 spent on the vest
= 1 - ¹₅
= ⁴₅

⁴₅ of total money = 189 + 115 = 304
¹₅ of total money = 304 ÷ 4 = 76
⁵₅ of total money = 5 x 76 = 380

Amount that Tina had at first = $380

Answer(s): $380