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

Sariah

23 May, 07:16

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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Emmanuel Delgado · 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