Roshel had some chocolate bars. She sold 30% of her chocolate bars and gave half of the remainder to her cousin. After that, she bought 23 chocolate bars and had a total of 86 chocolate bars in the end. How many chocolate bars did Roshel have at first?
Percentage of chocolate bars that Roshel left after selling 305 of her chocolate bars
= 100% - 30%
= 70%

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

Number of chocolate bars that Roshel had left = 7 u

Number of chocolate bars that Roshel had in the end = 7 u + 23

7 u + 23 = 86
7 u = 86 - 23
7 u = 63

1 u = 63 ÷ 7 = 9

Total number of chocolate bars that Roshel had at first
= 20 u
= 20 x 9
= 180

Answer(s): 180