Caden had some stamps. He gave ²₃ of his stamps to Julian and bought 4 new stamps. After that, he gave ³₈ of his remaining stamps to his brother and bought another 7 new stamps. In the end, Caden had 27 stamps.

1. How many stamps did Caden give to his brother?
2. How many stamps did Caden have at first?

(a)
Fraction of  his remaining stamps after he gave to his brother
= 1 - ³₈
= ⁵₈

⁵₈ of his remaining stamps = 27 - 7 = 20
¹₈ of his remaining stamps = 20 ÷ 5 = 4
³₈ of his remaining stamps = 3 x 4 = 12

Number of stamps that Caden gave to his brother = 12

(b)
⁸₈ of his remaining stamps = 8 x 4 = 32

Fraction of his total stamps after he gave to Julian
= 1 - ²₃
= ¹₃

¹₃ of his total stamps = 32 - 4 = 28
³₃ of his total stamps = 3 x 28 = 84

Number of stamps that Caden had at first = 84 

Answer(s): (a) 12; (b) 84