Lucy spent some of her money on a blazer, a pair of trainers and some necklaces. She spent ¹₅ of her money and an additional $264 on a blazer. Next, she spent ²₇ of the remaining money and an additional $44 on a pair of trainers. Finally, she spent ³₄ of what she had left on some necklaces and had $19 left. How much did Lucy have at first?
Fraction of the money that she had left
= 1 - ³₄ 
= ¹₄

¹₄ of the money she had left = 19
⁴₄ of the money she had left = 4 x 19 = 76

Fraction of the remaining money excluding the additional $44 spent on a pair of trainers
= 1 - ²₇
= ⁵₇

⁵₇ of the remaining money = 76 + 44 = 120
¹₇ of the remaining money = 120 ÷ 5 = 24
⁷₇ of the remaining money = 7 x 24 = 168

Fraction of the total money excluding the additional $264 spent on the blazer
= 1 - ¹₅
= ⁴₅

⁴₅ of total money = 168 + 264 = 432
¹₅ of total money = 432 ÷ 4 = 108
⁵₅ of total money = 5 x 108 = 540

Amount that Lucy had at first = $540

Answer(s): $540