Gillian had some caramel apples. She sold 70% of her caramel apples and gave half of the remainder to her cousin. After that, she bought 47 caramel apples and had a total of 83 caramel apples in the end. How many caramel apples did Gillian have at first?
Percentage of caramel apples that Gillian left after selling 705 of her caramel apples
= 100% - 70%
= 30%

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

Number of caramel apples that Gillian had left = 3 u

Number of caramel apples that Gillian had in the end = 3 u + 47

3 u + 47 = 83
3 u = 83 - 47
3 u = 36

1 u = 36 ÷ 3 = 12

Total number of caramel apples that Gillian had at first
= 20 u
= 20 x 12
= 240

Answer(s): 240