Barbara had some chocolate bars. She sold 40% of her chocolate bars and gave half of the remainder to her brother. After that, she bought 14 chocolate bars and had a total of 47 chocolate bars in the end. How many chocolate bars did Barbara have at first?
Percentage of chocolate bars that Barbara left after selling 405 of her chocolate bars
= 100% - 40%
= 60%

Fraction of chocolate bars that Barbara had left after giving to her brother
= ¹₂ x 60%
= ³₁₀

Number of chocolate bars that Barbara had left = 3 u

Number of chocolate bars that Barbara had in the end = 3 u + 14

3 u + 14 = 47
3 u = 47 - 14
3 u = 33

1 u = 33 ÷ 3 = 11

Total number of chocolate bars that Barbara had at first
= 10 u
= 10 x 11
= 110

Answer(s): 110