Nora spent some of her money on a jacket, a pair of flippers and some bracelets. She spent ¹₆ of her money and an additional $265 on a jacket. Next, she spent ³₅ of the remaining money and an additional $34 on a pair of flippers. Finally, she spent ⁵₆ of what she had left on some bracelets and had $11 left. How much did Nora 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 $34 spent on a pair of flippers
= 1 - ³₅
= ²₅

²₅ of the remaining money = 66 + 34 = 100
¹₅ of the remaining money = 100 ÷ 2 = 50
⁵₅ of the remaining money = 5 x 50 = 250

Fraction of the total money excluding the additional $265 spent on the jacket
= 1 - ¹₆
= ⁵₆

⁵₆ of total money = 250 + 265 = 515
¹₆ of total money = 515 ÷ 5 = 103
⁶₆ of total money = 6 x 103 = 618

Amount that Nora had at first = $618

Answer(s): $618