The average number of stickers that Charlie and Adam have is 28.
The average number of stickers that Charlie and Bryan have is 41.
The number of stickers that Adam has is ³₅ as many as Bryan.

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

(a)
Number of stickers that Charlie and Adam has
= 2 x 28
= 56

Number of stickers that Charlie and Bryan has
= 2 x 41
= 82

Number of stickers that Adam has = 3 u
Number of stickers that Bryan has = 5 u

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


C + A = 56
C + 3 u = 56 --- (1)

C + B = 82
C + 5 u = 82 --- (2)

(2) - (1)
(C + 5 u) - (C + 3 u ) = 82 - 56
C + 5 u - C - 3 u = 26
C - C + 5 u - 3 u = 26

2 u = 26

1 u = 26 ÷ 2 = 13

Substitute 1 u = 13 into (1).
C + 3 x 13 = 56
C + 39 = 56
C = 56 - 39 = 17

Number of stickers that Charlie has = 17

(b)
Number of stickers that Adam has
= 3 u
= 3 x 13
= 39

(c)
Number of stickers that Bryan has
= 5 u
= 5 x 13
= 65

Answer(s): (a) 17; (b) 39; (c) 65