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Question

One day, during their vacation at a beach resort, Shella found twice as many sea shells as Anita and Anita found 5 shells more than sandy. Together sandy and Shella found 16 sea shells. How many did each of them find?

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Solution

Let the number of sea shells found by Sandy = 'x'.
So, the number of sea shells found by Anita = (x + 5).
The number of sea shells found by Shella = 2 (x + 5 ).
According to the question,
⇒ x + 2 (x + 5) = 16
⇒ x + 2x + 10 = 16
⇒ 3x + 10 = 16
Subtracting 10 from both sides, we get
⇒ 3x + 10 - 10 = 16 - 10
⇒ 3x = 6
Dividing both sides by 3, we get
3x3 = 63
⇒ x = 2
Thus, the number of sea shells found by Sandy = x = 2, the number of sea shells found by Anita = x + 5 = 2 + 5 = 7,
and the number of sea shells found by Shella = 2(x + 5) = 2(2 + 5) = 2(7 ) = 14.

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