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If \( s \) represents the number of shells Susie found, which of the following statements correctly describes the equation \( 9s + 8 = 4s + 13 \)?

A. Brenda found 8 more than 9 times the number of shells as Susie. Claire found 13 more than 4 times the number of shells as Susie. Brenda and Susie found the same number of shells.

B. Brenda found 8 more than 9 times the number of shells as Susie. Claire found 13 more than 4 times the number of shells as Susie. Brenda and Claire found the same number of shells.

C. Brenda found 8 more than 9 times the number of shells as Susie. Claire found 13 more than 4 times the number of shells as Brenda. Brenda and Claire found the same number of shells.

D. Brenda found 8 more than 9 times the number of shells as Susie. Claire found 13 more than 4 times the number of shells as Susie. Susie and Claire found the same number of shells.

Answer :

Final answer:

The equation describes two scenarios where Brenda and Claire found shells using Susie's count as reference. It states they found the same quantity of shells, hence the correct statement is Option B.

Explanation:

The given equation is '9s + 8 = 4s + 13' where 's' represents the number of shells Susie found.

To understand the equation, let's break it down: the left side of the equation can be interpreted as 'Brenda found 8 more than 9 times the number of shells as Susie', and the right side of the equation can be interpreted as 'Claire found 13 more than 4 times the number of shells as Susie'. The equal sign indicates that both these conditions are equal, meaning Brenda and Claire found the same number of shells. Therefore, out of all provided options, the correct statement is Option B: 'Brenda found 8 more than 9 times the number of shells as Susie. Claire found 13 more than 4 times the number of shells as Susie. Brenda and Claire found the same number of shells.'

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