Bobby had some stamps. He gave ²₃ of his stamps to Zane and bought 4 new stamps. After that, he gave ³₅ of his remaining stamps to his brother and bought another 7 new stamps. In the end, Bobby had 29 stamps.

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

(a)
Fraction of  his remaining stamps after he gave to his brother
= 1 - ³₅
= ²₅

²₅ of his remaining stamps = 29 - 7 = 22
¹₅ of his remaining stamps = 22 ÷ 2 = 11
³₅ of his remaining stamps = 3 x 11 = 33

Number of stamps that Bobby gave to his brother = 33

(b)
⁵₅ of his remaining stamps = 5 x 11 = 55

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

¹₃ of his total stamps = 55 - 4 = 51
³₃ of his total stamps = 3 x 51 = 153

Number of stamps that Bobby had at first = 153 

Answer(s): (a) 33; (b) 153