Dana spent some of her money on a sweater, a pair of high heels and some bracelets. She spent ¹₈ of her money and an additional $264 on a sweater. Next, she spent ³₈ of the remaining money and an additional $49 on a pair of high heels. Finally, she spent ⁵₆ of what she had left on some bracelets and had $11 left. How much did Dana have at first?
Fraction of the money that she had left
= 1 - ⁵₆ 
= ¹₆

¹₆ of the money she had left = 11
⁶₆ of the money she had left = 6 x 11 = 66

Fraction of the remaining money excluding the additional $49 spent on a pair of high heels
= 1 - ³₈
= ⁵₈

⁵₈ of the remaining money = 66 + 49 = 115
¹₈ of the remaining money = 115 ÷ 5 = 23
⁸₈ of the remaining money = 8 x 23 = 184

Fraction of the total money excluding the additional $264 spent on the sweater
= 1 - ¹₈
= ⁷₈

⁷₈ of total money = 184 + 264 = 448
¹₈ of total money = 448 ÷ 7 = 64
⁸₈ of total money = 8 x 64 = 512

Amount that Dana had at first = $512

Answer(s): $512