Emily had some caramel apples. She sold 10% of her caramel apples and gave half of the remainder to her cousin. After that, she bought 11 caramel apples and had a total of 56 caramel apples in the end. How many caramel apples did Emily have at first?
Percentage of caramel apples that Emily left after selling 105 of her caramel apples
= 100% - 10%
= 90%

Fraction of caramel apples that Emily had left after giving to her cousin
= ¹₂ x 90%
= ⁹₂₀

Number of caramel apples that Emily had left = 9 u

Number of caramel apples that Emily had in the end = 9 u + 11

9 u + 11 = 56
9 u = 56 - 11
9 u = 45

1 u = 45 ÷ 9 = 5

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

Answer(s): 100