Justin had some stickers. He gave ⁵₆ of his stickers to Henry and bought 4 new stickers. After that, he gave ³₈ of his remaining stickers to his cousin and bought another 7 new stickers. In the end, Justin had 27 stickers.

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

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

⁵₈ of his remaining stickers = 27 - 7 = 20
¹₈ of his remaining stickers = 20 ÷ 5 = 4
³₈ of his remaining stickers = 3 x 4 = 12

Number of stickers that Justin gave to his cousin = 12

(b)
⁸₈ of his remaining stickers = 8 x 4 = 32

Fraction of his total stickers after he gave to Henry
= 1 - ⁵₆
= ¹₆

¹₆ of his total stickers = 32 - 4 = 28
⁶₆ of his total stickers = 6 x 28 = 168

Number of stickers that Justin had at first = 168 

Answer(s): (a) 12; (b) 168