Five sand pails aligned side by side contain a total of 100 seashells. Each bucket contains two seashells fewer than the bucket to its left. How many seashells are in each bucket?. a. 24, 22, 20, 18, 16 c. 20, 18, 16, 14, 12. b. 30, 28, 26, 24, 22 d. 26, 24, 22, 20, 18.

Question

Mathematics

Harley Lowe

11 June, 10:17

Five sand pails aligned side by side contain a total of 100 seashells. Each bucket contains two seashells fewer than the bucket to its left. How many seashells are in each bucket?. a. 24, 22, 20, 18, 16 c. 20, 18, 16, 14, 12. b. 30, 28, 26, 24, 22 d. 26, 24, 22, 20, 18.

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Giselle Garrison · Answer 1

Assume that the first bucket contains x seashells, another contains x - 2 and so on.

x + (x - 2) + (x - 4) + (x - 6) + (x - 8) = 100

5 x - 20 = 100

5 x = 100 + 20

5 x = 120

x = 120 : 5

x = 24 (in the 1st bucket)

Verify: 24 + 22 + 20 + 18 + 16 = 100

Answer: A) 24, 22, 20, 18, 16