Linda spent some of her money on a blazer, a pair of shoes and some rings. She spent ¹₄ of her money and an additional $136 on a blazer. Next, she spent ⁵₇ of the remaining money and an additional $47 on a pair of shoes. Finally, she spent ⁴₅ of what she had left on some rings and had $19 left. How much did Linda have at first?
Fraction of the money that she had left
= 1 - ⁴₅ 
= ¹₅

¹₅ of the money she had left = 19
⁵₅ of the money she had left = 5 x 19 = 95

Fraction of the remaining money excluding the additional $47 spent on a pair of shoes
= 1 - ⁵₇
= ²₇

²₇ of the remaining money = 95 + 47 = 142
¹₇ of the remaining money = 142 ÷ 2 = 71
⁷₇ of the remaining money = 7 x 71 = 497

Fraction of the total money excluding the additional $136 spent on the blazer
= 1 - ¹₄
= ³₄

³₄ of total money = 497 + 136 = 633
¹₄ of total money = 633 ÷ 3 = 211
⁴₄ of total money = 4 x 211 = 844

Amount that Linda had at first = $844

Answer(s): $844