Xandra spent some of her money on a sweater, a pair of moccasins and some necklaces. She spent ¹₅ of her money and an additional $294 on a sweater. Next, she spent ³₅ of the remaining money and an additional $70 on a pair of moccasins. Finally, she spent ²₃ of what she had left on some necklaces and had $18 left. How much did Xandra have at first?
Fraction of the money that she had left
= 1 - ²₃ 
= ¹₃

¹₃ of the money she had left = 18
³₃ of the money she had left = 3 x 18 = 54

Fraction of the remaining money excluding the additional $70 spent on a pair of moccasins
= 1 - ³₅
= ²₅

²₅ of the remaining money = 54 + 70 = 124
¹₅ of the remaining money = 124 ÷ 2 = 62
⁵₅ of the remaining money = 5 x 62 = 310

Fraction of the total money excluding the additional $294 spent on the sweater
= 1 - ¹₅
= ⁴₅

⁴₅ of total money = 310 + 294 = 604
¹₅ of total money = 604 ÷ 4 = 151
⁵₅ of total money = 5 x 151 = 755

Amount that Xandra had at first = $755

Answer(s): $755