Nicole had some chocolate bars. She sold 30% of her chocolate bars and gave half of the remainder to her sister. After that, she bought 29 chocolate bars and had a total of 85 chocolate bars in the end. How many chocolate bars did Nicole have at first?
Percentage of chocolate bars that Nicole left after selling 305 of her chocolate bars
= 100% - 30%
= 70%

Fraction of chocolate bars that Nicole had left after giving to her sister
= ¹₂ x 70%
= ⁷₂₀

Number of chocolate bars that Nicole had left = 7 u

Number of chocolate bars that Nicole had in the end = 7 u + 29

7 u + 29 = 85
7 u = 85 - 29
7 u = 56

1 u = 56 ÷ 7 = 8

Total number of chocolate bars that Nicole had at first
= 20 u
= 20 x 8
= 160

Answer(s): 160