Adam has some stickers
He gives away ¹₅ and an additional 60 stickers to Bryan.
He gives away ³₅ of the remainder and 12 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 = ¹₅ of the total + 60
Number of stickers that Adam gives to Chris = ³₅ of the remainder + 12
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 - ³₅ = ²₅

²₅ of the remainder = 12 + 28 = 40
¹₅ of the remainder = 40 ÷ 2 = 20
⁵₅ of the remainder = 5 x 20 = 100

1 - ¹₅ = ⁴₅
⁴₅ of the total = 100 + 60 = 160
¹₅ of the total = 160 ÷ 4 = 40
⁵₅ of the total = 5 x 40 = 200

Number of stickers at first = 200

Answer(s): 200