Cathy spent some of her money on a skirt, a pair of trainers and some bracelets. She spent ¹₅ of her money and an additional $183 on a skirt. Next, she spent ⁵₇ of the remaining money and an additional $34 on a pair of trainers. Finally, she spent ³₄ of what she had left on some bracelets and had $7 left. How much did Cathy have at first?
Fraction of the money that she had left
= 1 - ³₄ 
= ¹₄

¹₄ of the money she had left = 7
⁴₄ of the money she had left = 4 x 7 = 28

Fraction of the remaining money excluding the additional $34 spent on a pair of trainers
= 1 - ⁵₇
= ²₇

²₇ of the remaining money = 28 + 34 = 62
¹₇ of the remaining money = 62 ÷ 2 = 31
⁷₇ of the remaining money = 7 x 31 = 217

Fraction of the total money excluding the additional $183 spent on the skirt
= 1 - ¹₅
= ⁴₅

⁴₅ of total money = 217 + 183 = 400
¹₅ of total money = 400 ÷ 4 = 100
⁵₅ of total money = 5 x 100 = 500

Amount that Cathy had at first = $500

Answer(s): $500