Adam has some stickers
He gives away ¹₃ and an additional 19 stickers to Bryan.
He gives away ¹₅ of the remainder and 22 more stickers to Chris
and ²₅ of the rest to David.
Adam has 18 stickers left.
How many stickers does he have at first?
Number of stickers that Adam gives to Bryan = ¹₃ of the total + 19
Number of stickers that Adam gives to Chris = ¹₅ of the remainder + 22
Number of stickers that Adam gives to David = ²₅ of the rest
Number of stickers left = 18


Working backwards.
1 - ²₅ = ³₅

³₅ of the rest → 18
¹₅ of the rest → 18 ÷ 3 = 6
⁵₅ of the rest → 5 x 6 = 30

1 - ¹₅ = ⁴₅

⁴₅ of the remainder = 22 + 30 = 52
¹₅ of the remainder = 52 ÷ 4 = 13
⁵₅ of the remainder = 5 x 13 = 65

1 - ¹₃ = ²₃
²₃ of the total = 65 + 19 = 84
¹₃ of the total = 84 ÷ 2 = 42
³₃ of the total = 3 x 42 = 126

Number of stickers at first = 126

Answer(s): 126