Carl had some stickers. He gave ³₄ of his stickers to Pierre and bought 4 new stickers. After that, he gave ⁵₈ of his remaining stickers to his cousin and bought another 7 new stickers. In the end, Carl had 22 stickers.

1. How many stickers did Carl give to his cousin?
2. How many stickers did Carl have at first?

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

³₈ of his remaining stickers = 22 - 7 = 15
¹₈ of his remaining stickers = 15 ÷ 3 = 5
⁵₈ of his remaining stickers = 5 x 5 = 25

Number of stickers that Carl gave to his cousin = 25

(b)
⁸₈ of his remaining stickers = 8 x 5 = 40

Fraction of his total stickers after he gave to Pierre
= 1 - ³₄
= ¹₄

¹₄ of his total stickers = 40 - 4 = 36
⁴₄ of his total stickers = 4 x 36 = 144

Number of stickers that Carl had at first = 144 

Answer(s): (a) 25; (b) 144