Natalie, Samantha, Anthony and Aaron share the same hobby of collecting buttons. The average number of buttons collected by the 4 friends is 24. Samantha collected 8 more buttons than Anthony but 15 fewer buttons than Natalie. Aaron collected 3 buttons fewer than Anthony. Find the average number of buttons collected by Samantha, Anthony and Aaron. Round off your answer to the nearest whole number.
Number of buttons Anthony collected = 1 u
Number of buttons Samantha collected = 1 u + 8
Number of buttons Natalie collected = 1 u + 8 + 15 = 1 u + 23
Number of buttons Aaron collected = 1 u - 3

Total number of buttons collected
= 4 x 24
= 96

Total number of buttons collected in units
= 1 u + 1 u + 8 + 1 u + 23 + 1 u - 3
= 4 u + 28

4 u + 28 = 96
4 u = 96 - 28 = 68

1 u = 68 ÷ 4 = 17

Total number of buttons collected by Samantha, Anthony and Aaron
= 1 u + 8 + 1 u + 1 u - 3
= 3 u + 5
= 3 x 17 + 5
= 56

Average number of buttons collected by Samantha, Anthony and Aaron
= 56 ÷ 3
≈ 19 (Round off to the nearest whole number.)

Answer(s): 19