Justin had some stickers. He gave ⁶₇ of his stickers to Bryan and bought 4 new stickers. After that, he gave ²₇ of his remaining stickers to his brother and bought another 7 new stickers. In the end, Justin had 27 stickers.

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

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

⁵₇ of his remaining stickers = 27 - 7 = 20
¹₇ of his remaining stickers = 20 ÷ 5 = 4
²₇ of his remaining stickers = 2 x 4 = 8

Number of stickers that Justin gave to his brother = 8

(b)
⁷₇ of his remaining stickers = 7 x 4 = 28

Fraction of his total stickers after he gave to Bryan
= 1 - ⁶₇
= ¹₇

¹₇ of his total stickers = 28 - 4 = 24
⁷₇ of his total stickers = 7 x 24 = 168

Number of stickers that Justin had at first = 168 

Answer(s): (a) 8; (b) 168