Wesley had some stamps. He gave ²₃ of his stamps to Tom 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, Wesley had 32 stamps.

1. How many stamps did Wesley give to his cousin?
2. How many stamps did Wesley 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 Wesley gave to his cousin = 10

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

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

¹₃ of his total stamps = 35 - 4 = 31
³₃ of his total stamps = 3 x 31 = 93

Number of stamps that Wesley had at first = 93 

Answer(s): (a) 10; (b) 93