Rael had some stickers. He gave ³₄ of his stickers to Lee 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, Rael had 22 stickers.

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

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

⁵₇ of his remaining stickers = 22 - 7 = 15
¹₇ of his remaining stickers = 15 ÷ 5 = 3
²₇ of his remaining stickers = 2 x 3 = 6

Number of stickers that Rael gave to his brother = 6

(b)
⁷₇ of his remaining stickers = 7 x 3 = 21

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

¹₄ of his total stickers = 21 - 4 = 17
⁴₄ of his total stickers = 4 x 17 = 68

Number of stickers that Rael had at first = 68 

Answer(s): (a) 6; (b) 68