Ivory had some caramel apples. She sold 40% of her caramel apples and gave half of the remainder to her brother. After that, she bought 22 caramel apples and had a total of 52 caramel apples in the end. How many caramel apples did Ivory have at first?
Percentage of caramel apples that Ivory left after selling 405 of her caramel apples
= 100% - 40%
= 60%

Fraction of caramel apples that Ivory had left after giving to her brother
= ¹₂ x 60%
= ³₁₀

Number of caramel apples that Ivory had left = 3 u

Number of caramel apples that Ivory had in the end = 3 u + 22

3 u + 22 = 52
3 u = 52 - 22
3 u = 30

1 u = 30 ÷ 3 = 10

Total number of caramel apples that Ivory had at first
= 10 u
= 10 x 10
= 100

Answer(s): 100