Aaron, William, Andrew and Violet share the same hobby of collecting beads. The average number of beads collected by the 4 friends is 26. William collected 6 more beads than Andrew but 13 fewer beads than Aaron. Violet collected 5 beads fewer than Andrew. Find the average number of beads collected by William and Violet. Round off your answer to the nearest whole number.
Number of beads Andrew collected = 1 u
Number of beads William collected = 1 u + 6
Number of beads Aaron collected = 1 u + 6 + 13 = 1 u + 19
Number of beads Violet collected = 1 u - 5

Total number of beads collected
= 4 x 26
= 104

Total number of beads collected in units
= 1 u + 1 u + 6 + 1 u + 19 + 1 u - 5
= 4 u + 20

4 u + 20 = 104
4 u = 104 - 20 = 84

1 u = 84 ÷ 4 = 21

Total number of beads collected by William and Violet
= 1 u + 6 + 1 u - 5
= 2 u + 1
= 2 x 21 + 1
= 43

Average number of beads collected by William and Violet
= 43 ÷ 2
≈ 22 (Round off to the nearest whole number.)

Answer(s): 22