Al, bel and cal jointly own a fruit stand. They​ can't get along anymore and decide to break up the partnership using the method of sealed​ bids, with the understanding that one of them will get the fruit stand and the other two will get cash. Al bids 144 dollars, ben bids 141 and cal bids 156. how much money do al and ben receive from cal for their one-thirds share

To determine how much money Al and Ben will receive from Cal for their one-third shares, we follow the steps for the sealed-bid method of division.

### Step-by-step solution:

1. **Determine Cal’s bid**:  
   Cal is the highest bidder, bidding \$156. Since she wins the bid, she will keep the fruit stand.

2. **Calculate the fair value of the fruit stand**:  
   According to the sealed-bid method, the fair value is the average of the three bids. However, since Cal is keeping the fruit stand, her bid value is used to calculate how much she owes to Al and Ben. The total value of the fruit stand is assumed to be Cal's bid, \$156.

3. **Determine each person’s fair share**:  
   Since there are three partners, the fair share of the fruit stand for each is:
   \[
   \text{Fair share for each person} = \frac{156}{3} = 52 \, \text{dollars}
   \]
   Each person’s fair share is \$52.

4. **Calculate the amount Cal owes to Al and Ben**:  
   Since Al and Ben are giving up their shares, Cal needs to pay them for their one-third shares. For both Al and Ben:
   \[
   \text{Amount Cal pays to each} = 52 \, \text{dollars}
   \]
   Therefore, Cal will pay:
   \[
   52 + 52 = 104 \, \text{dollars}
   \]
   Cal will pay \$104 in total, with \$52 going to Al and \$52 going to Ben.

### Conclusion:
- Cal will pay Al \$52.
- Cal will pay Ben \$52.

### Do you want more details or have any further questions?

Here are 5 related questions:
1. What happens if two people tie in their bids?
2. How does the sealed-bid method ensure fairness?
3. What would happen if someone undervalues their bid compared to others?
4. How would the process change if they owned other assets, not just the fruit stand?
5. How would this method apply if the partners owned different proportions of the business?

**Tip**: The sealed-bid method works well for dividing indivisible assets among multiple people, ensuring everyone gets compensated fairly based on their valuations.

Al, Bel, and Cal jointly own a fruit stand. They can't get along anymore and decide to break up the partnership using the method of sealed bids, with the understanding that one of them will get the fruit stand and the other two will get cash. Al bids $144, Ben bids $141, and Cal bids $156. How much money do Al and Ben receive from Cal for their one-third share?

Learn how to solve a partnership dissolution problem using the sealed-bid method. In this problem, Al, Ben, and Cal jointly own a fruit stand. With bids of $144, $141, and $156, find out how much Al and Ben receive from Cal for their one-third shares. This problem covers fair division, sealed-bid methods, and proportional distribution, suitable for high school students.

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