Natalie had some caramel apples. She sold 70% of her caramel apples and gave half of the remainder to her sister. After that, she bought 21 caramel apples and had a total of 51 caramel apples in the end. How many caramel apples did Natalie have at first?
Percentage of caramel apples that Natalie left after selling 705 of her caramel apples
= 100% - 70%
= 30%

Fraction of caramel apples that Natalie had left after giving to her sister
= ¹₂ x 30%
= ³₂₀

Number of caramel apples that Natalie had left = 3 u

Number of caramel apples that Natalie had in the end = 3 u + 21

3 u + 21 = 51
3 u = 51 - 21
3 u = 30

1 u = 30 ÷ 3 = 10

Total number of caramel apples that Natalie had at first
= 20 u
= 20 x 10
= 200

Answer(s): 200