Adam has some stickers
He gives away ¹₄ and an additional 56 stickers to Bryan.
He gives away ³₇ of the remainder and 24 more stickers to Chris
and ²₇ of the rest to David.
Adam has 20 stickers left.
How many stickers does he have at first?
Number of stickers that Adam gives to Bryan = ¹₄ of the total + 56
Number of stickers that Adam gives to Chris = ³₇ of the remainder + 24
Number of stickers that Adam gives to David = ²₇ of the rest
Number of stickers left = 20


Working backwards.
1 - ²₇ = ⁵₇

⁵₇ of the rest → 20
¹₇ of the rest → 20 ÷ 5 = 4
⁷₇ of the rest → 7 x 4 = 28

1 - ³₇ = ⁴₇

⁴₇ of the remainder = 24 + 28 = 52
¹₇ of the remainder = 52 ÷ 4 = 13
⁷₇ of the remainder = 7 x 13 = 91

1 - ¹₄ = ³₄
³₄ of the total = 91 + 56 = 147
¹₄ of the total = 147 ÷ 3 = 49
⁴₄ of the total = 4 x 49 = 196

Number of stickers at first = 196

Answer(s): 196