Adam has some stickers
He gives away ¹₃ and an additional 38 stickers to Bryan.
He gives away ³₇ of the remainder and 19 more stickers to Chris
and ⁴₇ of the rest to David.
Adam has 9 stickers left.
How many stickers does he have at first?
Number of stickers that Adam gives to Bryan = ¹₃ of the total + 38
Number of stickers that Adam gives to Chris = ³₇ of the remainder + 19
Number of stickers that Adam gives to David = ⁴₇ of the rest
Number of stickers left = 9


Working backwards.
1 - ⁴₇ = ³₇

³₇ of the rest → 9
¹₇ of the rest → 9 ÷ 3 = 3
⁷₇ of the rest → 7 x 3 = 21

1 - ³₇ = ⁴₇

⁴₇ of the remainder = 19 + 21 = 40
¹₇ of the remainder = 40 ÷ 4 = 10
⁷₇ of the remainder = 7 x 10 = 70

1 - ¹₃ = ²₃
²₃ of the total = 70 + 38 = 108
¹₃ of the total = 108 ÷ 2 = 54
³₃ of the total = 3 x 54 = 162

Number of stickers at first = 162

Answer(s): 162