Evelyn, Maya, Liam and Lucy share the same hobby of collecting marbles. The average number of marbles collected by the 4 friends is 24. Maya collected 6 more marbles than Liam but 16 fewer marbles than Evelyn. Lucy collected 4 marbles fewer than Liam. Find the average number of marbles collected by Maya, Liam and Lucy. Round off your answer to the nearest whole number.
Number of marbles Liam collected = 1 u
Number of marbles Maya collected = 1 u + 6
Number of marbles Evelyn collected = 1 u + 6 + 16 = 1 u + 22
Number of marbles Lucy collected = 1 u - 4

Total number of marbles collected
= 4 x 24
= 96

Total number of marbles collected in units
= 1 u + 1 u + 6 + 1 u + 22 + 1 u - 4
= 4 u + 24

4 u + 24 = 96
4 u = 96 - 24 = 72

1 u = 72 ÷ 4 = 18

Total number of marbles collected by Maya, Liam and Lucy
= 1 u + 6 + 1 u + 1 u - 4
= 3 u + 2
= 3 x 18 + 2
= 56

Average number of marbles collected by Maya, Liam and Lucy
= 56 ÷ 3
≈ 19 (Round off to the nearest whole number.)

Answer(s): 19