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Answer :
Final answer:
According to the given ratio, each 'part' is equal to 11 shells. Sam's share is 2 parts, and multiplying that by 11 gives us 22, indicating that Sam has 22 shells.
Explanation:
Sam, Will and Ted have decided to share shells according to the ratio of 2:6:3. This means for every 11 (2+6+3) parts of shells, Sam gets 2 parts, Will gets 6 parts, and Ted gets 3 parts.
In the question, it is given that Will and Ted together have 99 shells (equivalent to 9 parts).
So, for this scenario, each part (referring to the ratio parts) would be equal to 99 divided by 9, which results in 11 shells per part.
Therefore, the number of shells Sam has (2 parts) would be 2 parts multiplied by 11 shells per part. This results in Sam having 22 shells.
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Final answer:
In the ratio 2:6:3 shared between Sam, Will, and Ted; Sam would have 22 shells when Will and Ted combined have 99. This is calculated based on dividing the total shells by the relevant ratio parts.
Explanation:
The subject of the question belongs to Mathematics and it is based on the topic of ratios. Sam, Will, and Ted decided to share shells in the ratio 2:6:3. First, let's add the parts to understand the ratio in total. 2+6+3 = 11 parts in total. Now, the question mentions that Will and Ted have 99 shells combined. The ratio parts for Will and Ted (6+3) equal 9 parts. To find the number of shells per part we divide 99 by 9, giving us 11 shells per part. Therefore, Sam, who has 2 parts, will have 2 parts * 11 shells per part, which equals 22 shells. So, Sam has 22 shells.
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