BMAD

The sum of three numbers is 6, the sum of their squares is 8, and the sum of their cubes is 5. What is the sum of their fourth powers?

I hope??!!?? winner!!!

nope Hurry!!!

nope

I did not account for what would happen if it only goes in 1/3 or 2/4 so some objects may. If it does, then identifying the object as going into BOTH (e.g. does the shape go in 2 and 4) then i would give credit.

Brilliant! We will add your extra restraint. Find a way to best maximize your minimum score while keeping the perceived share as balanced as possible. Can you elaborate on the bolded part? I'm not sure that I can parse that correctly. There are many ways to determine a 'best' answer in this question. Both you and Pickett found effective answer and there are in fact more answers that would work in providing everyone at least 25% of the fair share of the goods and money. I am now seeking the answer that provides everyone the most profit. I do not want the average percentage of perceived benefit from the will, I want to award the 'best' solution to the one who can give the most to the person who received the least. For example: (I am making these percentages up by the way) Remember each person expects to receive 1/4 of the value of the old man's wealth strategy 1's allocation strategy gave the following outcomes person 1=27% person 2=36% person 3=40% person 4=30% strategy 2's allocation strategy gave the following outcomes person 1= 30% person 2= 29% person 3= 28% person 4= 29% though the average gain in strategy 1 is 33.25% which is higher than strategy 2, person 1 only made 2% more than expected so this strategy is not preferred when compared to strategy 2 since its lowest recipient got 28% of the perceived wealth or 3% more than expected. So in these hypothetical cases, solution number 2 is perceived as better since the minimum beneficiary is better than the other cases minimum beneficiary. **and of course these percentages are perceived percentages of value they placed on the old man's wealth. If you are trying to maximize the minimum perceived percentage of the value, then you can divide the property in the following manner

nope

nope nope

Did we write our decimals out of order? Because I got 11.05727... The difference is small though so I will still give you best answer. I did the same way as you have done, its just that i thought if i am right, writing till only 3-4 decimal places would be sufficient.. you got .0527 where i got .0572. So i wasn't sure if you used a different strategy or inverted your numbers

Can you elaborate on the bolded part? I'm not sure that I can parse that correctly. There are many ways to determine a 'best' answer in this question. Both you and Pickett found effective answer and there are in fact more answers that would work in providing everyone at least 25% of the fair share of the goods and money. I am now seeking the answer that provides everyone the most profit. I do not want the average percentage of perceived benefit from the will, I want to award the 'best' solution to the one who can give the most to the person who received the least. For example: (I am making these percentages up by the way) Remember each person expects to receive 1/4 of the value of the old man's wealth strategy 1's allocation strategy gave the following outcomes person 1=27% person 2=36% person 3=40% person 4=30% strategy 2's allocation strategy gave the following outcomes person 1= 30% person 2= 29% person 3= 28% person 4= 29% though the average gain in strategy 1 is 33.25% which is higher than strategy 2, person 1 only made 2% more than expected so this strategy is not preferred when compared to strategy 2 since its lowest recipient got 28% of the perceived wealth or 3% more than expected. So in these hypothetical cases, solution number 2 is perceived as better since the minimum beneficiary is better than the other cases minimum beneficiary. **and of course these percentages are perceived percentages of value they placed on the old man's wealth.

A rectangular floor is composed of whole square tiles. A diagonal line is drawn (corner to corner) and ruins some of the tiles. (on a 2 x 5 floor, 6 tiles are ruined, on a 2 x 4, only 4 are ruined.) a) How many tiles are ruined on a 4 by 6 floor? b) How about a 63 by 81 floor? c) Generalize to an m by n floor.

Did we write our decimals out of order? Because I got 11.05727... The difference is small though so I will still give you best answer.

Let's assume Winter since a year starts in January.

Though Pickett got the right answer bonus points go to Bonanova for an awesome explanation.

I am not surprised. As I stated in the forum title this is an old riddle. Sadly my forum seeking ability for old posts is not as strong as it should be.

nope

nope

Tenny and Tonny are two elephants. Every winter, Tenny gains ten percent of his body weight, and Tonny loses ten percent. Every summer, the opposite happens: Tenny loses ten percent and Tonny gains ten percent. This has gone on for ten years, and now they each weigh ten tons. How many tons did Tenny and Tonny weigh ten years ago?

Two smart mathematicians (Ben and Jen) are told that a rectangle with integer sides L and W has been drawn, having perimeter less than 200, where L > W > 1 . Ben is told the area, Jen is told the perimeter. They now say: Ben: "I can't determine the dimensions." Jen: "I knew that." Ben responds, "Now I can determine them." Jen: "So can I." Given these are true statements, what are the length and the width?

New Game

What is the best means to dividing these items up? Let's define Best as the approach that gives the greatest benefit to the recipients. The submissions will be judged by examining the highest percentage over the expected individual's share of the individual who made the least over their expectation.