Glen had some stamps. He gave ²₃ of his stamps to Ahmad 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, Glen had 27 stamps.

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

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

²₅ of his remaining stamps = 27 - 7 = 20
¹₅ of his remaining stamps = 20 ÷ 2 = 10
³₅ of his remaining stamps = 3 x 10 = 30

Number of stamps that Glen gave to his brother = 30

(b)
⁵₅ of his remaining stamps = 5 x 10 = 50

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

¹₃ of his total stamps = 50 - 4 = 46
³₃ of his total stamps = 3 x 46 = 138

Number of stamps that Glen had at first = 138 

Answer(s): (a) 30; (b) 138