Adam has some stickers
He gives away ¹₃ and an additional 74 stickers away to Bryan.
He gives away 10 less than ³₅ of the remaining stickers to Chris
and ⁴₇ of the rest to David.
Adam has 6 stickers left.
How many stickers does he have at first?
Number of stickers that Adam gives to Bryan = ¹₃ of the total + 74
Number of stickers that Adam gives to Chris = ³₅ of the remainder - 10
Number of stickers that Adam gives to David = ⁴₇ of the rest
Number of stickers left = 6


Working backwards.
1 - ⁴₇ = ³₇

³₇ of the rest = 6
¹₇ of the rest = 6 ÷ 3 = 2
⁷₇ of the rest = 7 x 2 = 14

1 - ³₅ = ²₅

²₅ of the remainder = 14 - 10 = 4
¹₅ of the remainder = 4 ÷ 2 = 2
⁵₅ of the remainder = 5 x 2 = 10

1 - ¹₃ = ²₃
²₃ of the total = 10 + 74 = 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