Pregunta
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Basi. Oscar and Sue share 43 sweets.
Sue gets the largest share.
What is the smallest possicle number of sweets Sue could get

Ask by Dickson Guerrero. in the United Kingdom
Nov 01,2024

Solución de inteligencia artificial de Upstudy

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The smallest number of sweets Sue could get is 22.

Solución

To find the smallest possible number of sweets Sue could get, we need to consider that Sue gets the largest share. This means that the remaining sweets will be divided between Basi and Oscar.
Let’s denote the number of sweets Sue gets as , the number of sweets Basi gets as , and the number of sweets Oscar gets as .
Given that Sue gets the largest share, we have:
We also know that the total number of sweets is 43, so:
Since Sue gets the largest share, we can assume that Sue gets the maximum possible number of sweets, which is half of the total number of sweets. This is because if Sue gets more than half, then Basi and Oscar would not be able to get the largest share.
Therefore, the smallest possible number of sweets Sue could get is half of the total number of sweets, which is:
Let’s calculate this value.
Calculate the value by following steps:
  • step0: Calculate:

    The smallest possible number of sweets Sue could get is 21.5.
Since Sue cannot get a fraction of a sweet, the smallest whole number of sweets Sue could get is 22.

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Beyond the Answer

To solve the problem, we want to ensure that Sue gets more sweets than Oscar and Basi. If we denote the number of sweets that Oscar and Basi get as O and B respectively, then we can express the situation mathematically as S > O and S > B, where S is the number of sweets Sue receives.
To minimize the number of sweets Sue gets while still having more than both Oscar and Basi, we can try the distribution as follows: if we give Oscar and Basi 1 sweet each (the smallest possible number), then together they have 2 sweets (1 + 1). This leaves 41 sweets for Sue (43 - 2 = 41). Therefore, the smallest possible number of sweets Sue could get is 41.

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