Adam has some stickers
He gives away ¹₅ and an additional 43 stickers to Bryan.
He gives away ⁵₇ of the remainder and 19 more stickers to Chris
and ³₇ 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 + 43
Number of stickers that Adam gives to Chris = ⁵₇ of the remainder + 19
Number of stickers that Adam gives to David = ³₇ of the rest
Number of stickers left = 20


Working backwards.
1 - ³₇ = ⁴₇

⁴₇ of the rest → 20
¹₇ of the rest → 20 ÷ 4 = 5
⁷₇ of the rest → 7 x 5 = 35

1 - ⁵₇ = ²₇

²₇ of the remainder = 19 + 35 = 54
¹₇ of the remainder = 54 ÷ 2 = 27
⁷₇ of the remainder = 7 x 27 = 189

1 - ¹₅ = ⁴₅
⁴₅ of the total = 189 + 43 = 232
¹₅ of the total = 232 ÷ 4 = 58
⁵₅ of the total = 5 x 58 = 290

Number of stickers at first = 290

Answer(s): 290