Ivory spent some of her money on a sweater, a pair of sneakers and some necklaces. She spent ¹₅ of her money and an additional $148 on a sweater. Next, she spent ²₅ of the remaining money and an additional $30 on a pair of sneakers. Finally, she spent ⁵₆ of what she had left on some necklaces and had $11 left. How much did Ivory 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 $30 spent on a pair of sneakers
= 1 - ²₅
= ³₅

³₅ of the remaining money = 66 + 30 = 96
¹₅ of the remaining money = 96 ÷ 3 = 32
⁵₅ of the remaining money = 5 x 32 = 160

Fraction of the total money excluding the additional $148 spent on the sweater
= 1 - ¹₅
= ⁴₅

⁴₅ of total money = 160 + 148 = 308
¹₅ of total money = 308 ÷ 4 = 77
⁵₅ of total money = 5 x 77 = 385

Amount that Ivory had at first = $385

Answer(s): $385