Adam has some stickers
He gives away ¹₅ and an additional 92 stickers to Bryan.
He gives away ⁴₇ of the remainder and 18 more stickers to Chris
and ⁴₇ 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 = ¹₅ of the total + 92
Number of stickers that Adam gives to Chris = ⁴₇ of the remainder + 18
Number of stickers that Adam gives to David = ⁴₇ of the rest
Number of stickers left = 18


Working backwards.
1 - ⁴₇ = ³₇

³₇ of the rest → 18
¹₇ of the rest → 18 ÷ 3 = 6
⁷₇ of the rest → 7 x 6 = 42

1 - ⁴₇ = ³₇

³₇ of the remainder = 18 + 42 = 60
¹₇ of the remainder = 60 ÷ 3 = 20
⁷₇ of the remainder = 7 x 20 = 140

1 - ¹₅ = ⁴₅
⁴₅ of the total = 140 + 92 = 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