Victoria had some caramel apples. She sold 30% of her caramel apples and gave half of the remainder to her cousin. After that, she bought 48 caramel apples and had a total of 83 caramel apples in the end. How many caramel apples did Victoria have at first?
Percentage of caramel apples that Victoria left after selling 305 of her caramel apples
= 100% - 30%
= 70%

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

Number of caramel apples that Victoria had left = 7 u

Number of caramel apples that Victoria had in the end = 7 u + 48

7 u + 48 = 83
7 u = 83 - 48
7 u = 35

1 u = 35 ÷ 7 = 5

Total number of caramel apples that Victoria had at first
= 20 u
= 20 x 5
= 100

Answer(s): 100