Sarah had some chocolate bars. She sold 70% of her chocolate bars and gave half of the remainder to her cousin. After that, she bought 16 chocolate bars and had a total of 49 chocolate bars in the end. How many chocolate bars did Sarah have at first?
Percentage of chocolate bars that Sarah left after selling 705 of her chocolate bars
= 100% - 70%
= 30%

Fraction of chocolate bars that Sarah had left after giving to her cousin
= ¹₂ x 30%
= ³₂₀

Number of chocolate bars that Sarah had left = 3 u

Number of chocolate bars that Sarah had in the end = 3 u + 16

3 u + 16 = 49
3 u = 49 - 16
3 u = 33

1 u = 33 ÷ 3 = 11

Total number of chocolate bars that Sarah had at first
= 20 u
= 20 x 11
= 220

Answer(s): 220