Three players (Arlo, Melvin, Julie) must divide a cake among them. The cake is divided into three slices.The table below shows the value of S1 and S2 as a percentage of the value of the entire cake. The values for S3 are missing, but can be determined with the given information. S1S2S3Arlo50%30% Melvin50%45% Julie20%30% Which of the slices does Arlo deem fair?Group of answer choicesS1 and S2S3 onlyS2 onlyS1, S2, and S3S1 only

The objective of the question is to determine which slice or slices of the cake Arlo would consider fair based on the given values.First, we need to understand that the total value of the cake is 100%. This means that the value of all three slices (S1, S2, and S3) should add up to 100%.Next, we need to calculate the value of S3 for each player. We can do this by subtracting the values of S1 and S2 from 100%. For Arlo, the value of S3 would be 100% - 50% (S1) - 30% (S2) = 20%. For Melvin, the value of S3 would be 100% - 50% (S1) - 45% (S2) = 5%. For Julie, the value of S3 would be 100% - 20% (S1) - 30% (S2) = 50%.Now, we need to determine which slice or slices Arlo would consider fair. A slice is considered fair if its value is equal to or greater than the player's fair share of the cake, which is 1/3 or approximately 33.33% of the total value of the cake.Looking at the values, we can see that only S1, which is valued at 50%, is considered fair by Arlo. S2 and S3, which are valued at 30% and 20% respectively, are less than Arlo's fair share of the cake.In conclusion, based on the given values and the calculation of the value of S3, Arlo would only consider S1 as a fair slice of the cake. This is because its value is equal to or greater than his fair share of the cake, which is 33.33%.