Abi spent some of her money on a jacket, a pair of sneakers and some bracelets. She spent ¹₄ of her money and an additional $178 on a jacket. Next, she spent ⁵₈ of the remaining money and an additional $72 on a pair of sneakers. Finally, she spent ³₄ of what she had left on some bracelets and had $3 left. How much did Abi have at first?
Fraction of the money that she had left
= 1 - ³₄ 
= ¹₄

¹₄ of the money she had left = 3
⁴₄ of the money she had left = 4 x 3 = 12

Fraction of the remaining money excluding the additional $72 spent on a pair of sneakers
= 1 - ⁵₈
= ³₈

³₈ of the remaining money = 12 + 72 = 84
¹₈ of the remaining money = 84 ÷ 3 = 28
⁸₈ of the remaining money = 8 x 28 = 224

Fraction of the total money excluding the additional $178 spent on the jacket
= 1 - ¹₄
= ³₄

³₄ of total money = 224 + 178 = 402
¹₄ of total money = 402 ÷ 3 = 134
⁴₄ of total money = 4 x 134 = 536

Amount that Abi had at first = $536

Answer(s): $536