Kimberly spent some of her money on a blazer, a pair of flippers and some necklaces. She spent ¹₅ of her money and an additional $268 on a blazer. Next, she spent ⁵₇ of the remaining money and an additional $11 on a pair of flippers. Finally, she spent ⁴₅ of what she had left on some necklaces and had $9 left. How much did Kimberly have at first?
Fraction of the money that she had left
= 1 - ⁴₅ 
= ¹₅

¹₅ of the money she had left = 9
⁵₅ of the money she had left = 5 x 9 = 45

Fraction of the remaining money excluding the additional $11 spent on a pair of flippers
= 1 - ⁵₇
= ²₇

²₇ of the remaining money = 45 + 11 = 56
¹₇ of the remaining money = 56 ÷ 2 = 28
⁷₇ of the remaining money = 7 x 28 = 196

Fraction of the total money excluding the additional $268 spent on the blazer
= 1 - ¹₅
= ⁴₅

⁴₅ of total money = 196 + 268 = 464
¹₅ of total money = 464 ÷ 4 = 116
⁵₅ of total money = 5 x 116 = 580

Amount that Kimberly had at first = $580

Answer(s): $580