Ahmad had some stickers. He gave ²₃ of his stickers to Tommy and bought 4 new stickers. After that, he gave ³₅ of his remaining stickers to his sister and bought another 7 new stickers. In the end, Ahmad had 33 stickers.

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

(a)
Fraction of  his remaining stickers after he gave to his sister
= 1 - ³₅
= ²₅

²₅ of his remaining stickers = 33 - 7 = 26
¹₅ of his remaining stickers = 26 ÷ 2 = 13
³₅ of his remaining stickers = 3 x 13 = 39

Number of stickers that Ahmad gave to his sister = 39

(b)
⁵₅ of his remaining stickers = 5 x 13 = 65

Fraction of his total stickers after he gave to Tommy
= 1 - ²₃
= ¹₃

¹₃ of his total stickers = 65 - 4 = 61
³₃ of his total stickers = 3 x 61 = 183

Number of stickers that Ahmad had at first = 183 

Answer(s): (a) 39; (b) 183