Adam has some stickers
He gives away ¹₃ and an additional 21 stickers to Bryan.
He gives away ³₇ of the remainder and 22 more stickers to Chris
and ³₇ of the rest to David.
Adam has 8 stickers left.
How many stickers does he have at first?
Number of stickers that Adam gives to Bryan = ¹₃ of the total + 21
Number of stickers that Adam gives to Chris = ³₇ of the remainder + 22
Number of stickers that Adam gives to David = ³₇ of the rest
Number of stickers left = 8


Working backwards.
1 - ³₇ = ⁴₇

⁴₇ of the rest → 8
¹₇ of the rest → 8 ÷ 4 = 2
⁷₇ of the rest → 7 x 2 = 14

1 - ³₇ = ⁴₇

⁴₇ of the remainder = 22 + 14 = 36
¹₇ of the remainder = 36 ÷ 4 = 9
⁷₇ of the remainder = 7 x 9 = 63

1 - ¹₃ = ²₃
²₃ of the total = 63 + 21 = 84
¹₃ of the total = 84 ÷ 2 = 42
³₃ of the total = 3 x 42 = 126

Number of stickers at first = 126

Answer(s): 126