Ethan had some stickers. He gave ⁶₇ of his stickers to Vincent and bought 4 new stickers. After that, he gave ³₈ of his remaining stickers to his sister and bought another 7 new stickers. In the end, Ethan had 22 stickers.

1. How many stickers did Ethan give to his sister?
2. How many stickers did Ethan have at first?

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

⁵₈ of his remaining stickers = 22 - 7 = 15
¹₈ of his remaining stickers = 15 ÷ 5 = 3
³₈ of his remaining stickers = 3 x 3 = 9

Number of stickers that Ethan gave to his sister = 9

(b)
⁸₈ of his remaining stickers = 8 x 3 = 24

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

¹₇ of his total stickers = 24 - 4 = 20
⁷₇ of his total stickers = 7 x 20 = 140

Number of stickers that Ethan had at first = 140 

Answer(s): (a) 9; (b) 140