The average number of beads that Bryan and Adam have is 32.
The average number of beads that Bryan and Charlie have is 44.
The number of beads that Adam has is ⁵₇ as many as Charlie.

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

(a)
Number of beads that Bryan and Adam has
= 2 x 32
= 64

Number of beads that Bryan and Charlie has
= 2 x 44
= 88

Number of beads that Adam has = 5 u
Number of beads that Charlie has = 7 u

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


B + A = 64
B + 5 u = 64 --- (1)

B + C = 88
B + 7 u = 88 --- (2)

(2) - (1)
(B + 7 u) - (B + 5 u ) = 88 - 64
B + 7 u - B - 5 u = 24
B - B + 7 u - 5 u = 24

2 u = 24

1 u = 24 ÷ 2 = 12

Substitute 1 u = 12 into (1).
B + 5 x 12 = 64
B + 60 = 64
B = 64 - 60 = 4

Number of beads that Bryan has = 4

(b)
Number of beads that Adam has
= 5 u
= 5 x 12
= 60

(c)
Number of beads that Charlie has
= 7 u
= 7 x 12
= 84

Answer(s): (a) 4; (b) 60; (c) 84