Julie had some caramel apples. She sold 30% of her caramel apples and gave half of the remainder to her sister. After that, she bought 46 caramel apples and had a total of 102 caramel apples in the end. How many caramel apples did Julie have at first?
Percentage of caramel apples that Julie left after selling 305 of her caramel apples
= 100% - 30%
= 70%

Fraction of caramel apples that Julie had left after giving to her sister
= ¹₂ x 70%
= ⁷₂₀

Number of caramel apples that Julie had left = 7 u

Number of caramel apples that Julie had in the end = 7 u + 46

7 u + 46 = 102
7 u = 102 - 46
7 u = 56

1 u = 56 ÷ 7 = 8

Total number of caramel apples that Julie had at first
= 20 u
= 20 x 8
= 160

Answer(s): 160