Adam has some stickers
He gives away ¹₃ and an additional 54 stickers to Bryan.
He gives away ²₇ of the remainder and 15 more stickers to Chris
and ²₅ of the rest to David.
Adam has 9 stickers left.
How many stickers does he have at first?
Number of stickers that Adam gives to Bryan = ¹₃ of the total + 54
Number of stickers that Adam gives to Chris = ²₇ of the remainder + 15
Number of stickers that Adam gives to David = ²₅ of the rest
Number of stickers left = 9


Working backwards.
1 - ²₅ = ³₅

³₅ of the rest → 9
¹₅ of the rest → 9 ÷ 3 = 3
⁵₅ of the rest → 5 x 3 = 15

1 - ²₇ = ⁵₇

⁵₇ of the remainder = 15 + 15 = 30
¹₇ of the remainder = 30 ÷ 5 = 6
⁷₇ of the remainder = 7 x 6 = 42

1 - ¹₃ = ²₃
²₃ of the total = 42 + 54 = 96
¹₃ of the total = 96 ÷ 2 = 48
³₃ of the total = 3 x 48 = 144

Number of stickers at first = 144

Answer(s): 144