Linda spent some of her money on a shirt, a pair of flippers and some bracelets. She spent ¹₃ of her money and an additional $237 on a shirt. Next, she spent ⁵₇ of the remaining money and an additional $18 on a pair of flippers. Finally, she spent ⁵₆ of what she had left on some bracelets and had $4 left. How much did Linda have at first?
Fraction of the money that she had left
= 1 - ⁵₆ 
= ¹₆

¹₆ of the money she had left = 4
⁶₆ of the money she had left = 6 x 4 = 24

Fraction of the remaining money excluding the additional $18 spent on a pair of flippers
= 1 - ⁵₇
= ²₇

²₇ of the remaining money = 24 + 18 = 42
¹₇ of the remaining money = 42 ÷ 2 = 21
⁷₇ of the remaining money = 7 x 21 = 147

Fraction of the total money excluding the additional $237 spent on the shirt
= 1 - ¹₃
= ²₃

²₃ of total money = 147 + 237 = 384
¹₃ of total money = 384 ÷ 2 = 192
³₃ of total money = 3 x 192 = 576

Amount that Linda had at first = $576

Answer(s): $576