Figuring each persons share

Another possible scenario when dividing things up is that three or more people are involved, and they each get a different share or fraction of the total amount. A situation like this occurs when people do different amounts of the total work or when they are different ages or different weights or whatever makes them different from one another. 

The proportion or proportions used to solve problems where three or more people get differing shares all have a common theme. You re always concerned with the total amount — and all the parts must add up to the total amount. 

If a pie is to be divided among four people, and the shares are one-twelfth, one-sixth, one-fourth, and one-half of the pie, you have to be sure that these fractions all add up to 1 — which is the whole pie. 

Consider a situation where contestants share in the total prize depending on the number of points that they ve scored. 

The Problem In a fishing tournament, a sports-equipment company has offered a prize of 100,000 to be divided among the top five winners in proportion to their scores. The points earned by the top five winners are 60, 40, 30, 20, and 10. How much money does each get  

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UbiTable-Inspired Figure 2(a) shows the digital setup inspired by the UbiTable system. This system uses four small computers (two notebooks and two tablet computers) as the users private space, and each user s screen top is connected to a large display. Users can handle their contents on their own screen as private space and transfer them to the large display as public space by moving them to the top of then-own screen. Essentially, users can use the large display and their own small computers seamlessly, but cannot access each other s small computers. This system did not support personal or shared spaces. 

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