Jen spent some of her money on a windbreaker, a pair of slippers and some necklaces. She spent ¹₅ of her money and an additional $280 on a windbreaker. Next, she spent ³₈ of the remaining money and an additional $56 on a pair of slippers. Finally, she spent ²₃ of what she had left on some necklaces and had $3 left. How much did Jen have at first?
Fraction of the money that she had left
= 1 - ²₃ 
= ¹₃

¹₃ of the money she had left = 3
³₃ of the money she had left = 3 x 3 = 9

Fraction of the remaining money excluding the additional $56 spent on a pair of slippers
= 1 - ³₈
= ⁵₈

⁵₈ of the remaining money = 9 + 56 = 65
¹₈ of the remaining money = 65 ÷ 5 = 13
⁸₈ of the remaining money = 8 x 13 = 104

Fraction of the total money excluding the additional $280 spent on the windbreaker
= 1 - ¹₅
= ⁴₅

⁴₅ of total money = 104 + 280 = 384
¹₅ of total money = 384 ÷ 4 = 96
⁵₅ of total money = 5 x 96 = 480

Amount that Jen had at first = $480

Answer(s): $480