Jen spent some of her money on a skirt, a pair of floaters and some bracelets. She spent ¹₄ of her money and an additional $203 on a skirt. Next, she spent ³₇ of the remaining money and an additional $82 on a pair of floaters. Finally, she spent ²₃ of what she had left on some bracelets and had $10 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 = 10
³₃ of the money she had left = 3 x 10 = 30

Fraction of the remaining money excluding the additional $82 spent on a pair of floaters
= 1 - ³₇
= ⁴₇

⁴₇ of the remaining money = 30 + 82 = 112
¹₇ of the remaining money = 112 ÷ 4 = 28
⁷₇ of the remaining money = 7 x 28 = 196

Fraction of the total money excluding the additional $203 spent on the skirt
= 1 - ¹₄
= ³₄

³₄ of total money = 196 + 203 = 399
¹₄ of total money = 399 ÷ 3 = 133
⁴₄ of total money = 4 x 133 = 532

Amount that Jen had at first = $532

Answer(s): $532