Adam has some stickers
He gives away ¹₃ and an additional 13 stickers to Bryan.
He gives away ³₅ of the remainder and 21 more stickers to Chris
and ³₇ 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 + 13
Number of stickers that Adam gives to Chris = ³₅ of the remainder + 21
Number of stickers that Adam gives to David = ³₇ of the rest
Number of stickers left = 12


Working backwards.
1 - ³₇ = ⁴₇

⁴₇ of the rest → 12
¹₇ of the rest → 12 ÷ 4 = 3
⁷₇ of the rest → 7 x 3 = 21

1 - ³₅ = ²₅

²₅ of the remainder = 21 + 21 = 42
¹₅ of the remainder = 42 ÷ 2 = 21
⁵₅ of the remainder = 5 x 21 = 105

1 - ¹₃ = ²₃
²₃ of the total = 105 + 13 = 118
¹₃ of the total = 118 ÷ 2 = 59
³₃ of the total = 3 x 59 = 177

Number of stickers at first = 177

Answer(s): 177