The average number of stickers that Charlie and Bryan have is 31.
The average number of stickers that Charlie and Adam have is 49.
The number of stickers that Bryan has is ⁵₉ as many as Adam.

1. How many stickers does Charlie have?
2. How many stickers does Bryan have?
3. How many stickers does Adam have?

(a)
Number of stickers that Charlie and Bryan has
= 2 x 31
= 62

Number of stickers that Charlie and Adam has
= 2 x 49
= 98

Number of stickers that Bryan has = 5 u
Number of stickers that Adam has = 9 u

Let the number of Charlie's stickers be C.
Let the number of Bryan's stickers be B.
Let the number of Adam's stickers be A.


C + B = 62
C + 5 u = 62 --- (1)

C + A = 98
C + 9 u = 98 --- (2)

(2) - (1)
(C + 9 u) - (C + 5 u ) = 98 - 62
C + 9 u - C - 5 u = 36
C - C + 9 u - 5 u = 36

4 u = 36

1 u = 36 ÷ 4 = 9

Substitute 1 u = 9 into (1).
C + 5 x 9 = 62
C + 45 = 62
C = 62 - 45 = 17

Number of stickers that Charlie has = 17

(b)
Number of stickers that Bryan has
= 5 u
= 5 x 9
= 45

(c)
Number of stickers that Adam has
= 9 u
= 9 x 9
= 81

Answer(s): (a) 17; (b) 45; (c) 81