Linda spent some of her money on a coat, a pair of moccasins and some necklaces. She spent ¹₄ of her money and an additional $103 on a coat. Next, she spent ²₅ of the remaining money and an additional $60 on a pair of moccasins. Finally, she spent ²₃ of what she had left on some necklaces and had $20 left. How much did Linda have at first?
Fraction of the money that she had left
= 1 - ²₃ 
= ¹₃

¹₃ of the money she had left = 20
³₃ of the money she had left = 3 x 20 = 60

Fraction of the remaining money excluding the additional $60 spent on a pair of moccasins
= 1 - ²₅
= ³₅

³₅ of the remaining money = 60 + 60 = 120
¹₅ of the remaining money = 120 ÷ 3 = 40
⁵₅ of the remaining money = 5 x 40 = 200

Fraction of the total money excluding the additional $103 spent on the coat
= 1 - ¹₄
= ³₄

³₄ of total money = 200 + 103 = 303
¹₄ of total money = 303 ÷ 3 = 101
⁴₄ of total money = 4 x 101 = 404

Amount that Linda had at first = $404

Answer(s): $404