Adam has some stickers
He gives away ¹₃ and an additional 23 stickers to Bryan.
He gives away ²₇ of the remainder and 15 more stickers to Chris
and ³₅ of the rest to David.
Adam has 12 stickers left.
How many stickers does he have at first?
Number of stickers that Adam gives to Bryan = ¹₃ of the total + 23
Number of stickers that Adam gives to Chris = ²₇ of the remainder + 15
Number of stickers that Adam gives to David = ³₅ of the rest
Number of stickers left = 12


Working backwards.
1 - ³₅ = ²₅

²₅ of the rest → 12
¹₅ of the rest → 12 ÷ 2 = 6
⁵₅ of the rest → 5 x 6 = 30

1 - ²₇ = ⁵₇

⁵₇ of the remainder = 15 + 30 = 45
¹₇ of the remainder = 45 ÷ 5 = 9
⁷₇ of the remainder = 7 x 9 = 63

1 - ¹₃ = ²₃
²₃ of the total = 63 + 23 = 86
¹₃ of the total = 86 ÷ 2 = 43
³₃ of the total = 3 x 43 = 129

Number of stickers at first = 129

Answer(s): 129