Adam has some stickers
He gives away ¹₄ and an additional 75 stickers to Bryan.
He gives away ²₉ of the remainder and 14 more stickers to Chris
and ²₇ of the rest to David.
Adam has 15 stickers left.
How many stickers does he have at first?
Number of stickers that Adam gives to Bryan = ¹₄ of the total + 75
Number of stickers that Adam gives to Chris = ²₉ of the remainder + 14
Number of stickers that Adam gives to David = ²₇ of the rest
Number of stickers left = 15


Working backwards.
1 - ²₇ = ⁵₇

⁵₇ of the rest → 15
¹₇ of the rest → 15 ÷ 5 = 3
⁷₇ of the rest → 7 x 3 = 21

1 - ²₉ = ⁷₉

⁷₉ of the remainder = 14 + 21 = 35
¹₉ of the remainder = 35 ÷ 7 = 5
⁹₉ of the remainder = 9 x 5 = 45

1 - ¹₄ = ³₄
³₄ of the total = 45 + 75 = 120
¹₄ of the total = 120 ÷ 3 = 40
⁴₄ of the total = 4 x 40 = 160

Number of stickers at first = 160

Answer(s): 160