Harry had some stamps. He gave ⁵₆ of his stamps to Albert and bought 4 new stamps. After that, he gave ²₇ of his remaining stamps to his cousin and bought another 7 new stamps. In the end, Harry had 32 stamps.

1. How many stamps did Harry give to his cousin?
2. How many stamps did Harry have at first?

(a)
Fraction of  his remaining stamps after he gave to his cousin
= 1 - ²₇
= ⁵₇

⁵₇ of his remaining stamps = 32 - 7 = 25
¹₇ of his remaining stamps = 25 ÷ 5 = 5
²₇ of his remaining stamps = 2 x 5 = 10

Number of stamps that Harry gave to his cousin = 10

(b)
⁷₇ of his remaining stamps = 7 x 5 = 35

Fraction of his total stamps after he gave to Albert
= 1 - ⁵₆
= ¹₆

¹₆ of his total stamps = 35 - 4 = 31
⁶₆ of his total stamps = 6 x 31 = 186

Number of stamps that Harry had at first = 186 

Answer(s): (a) 10; (b) 186