Risa spent some of her money on a sweater, a pair of high heels and some rings. She spent ¹₄ of her money and an additional $194 on a sweater. Next, she spent ²₅ of the remaining money and an additional $22 on a pair of high heels. Finally, she spent ⁴₅ of what she had left on some rings and had $4 left. How much did Risa have at first?
Fraction of the money that she had left
= 1 - ⁴₅ 
= ¹₅

¹₅ of the money she had left = 4
⁵₅ of the money she had left = 5 x 4 = 20

Fraction of the remaining money excluding the additional $22 spent on a pair of high heels
= 1 - ²₅
= ³₅

³₅ of the remaining money = 20 + 22 = 42
¹₅ of the remaining money = 42 ÷ 3 = 14
⁵₅ of the remaining money = 5 x 14 = 70

Fraction of the total money excluding the additional $194 spent on the sweater
= 1 - ¹₄
= ³₄

³₄ of total money = 70 + 194 = 264
¹₄ of total money = 264 ÷ 3 = 88
⁴₄ of total money = 4 x 88 = 352

Amount that Risa had at first = $352

Answer(s): $352