The Egg Test

Mar 16, 2024

Puzzler time.

This one is non automotive. Here we go. 

A farmer had three daughters. And he decided to test his children. Send them off on a little errand. 

To each of them he gave the following number of eggs.

Daughter #1 got 15 eggs.

Daughter #2 got 50 eggs.

Daughter #3 got 85 eggs.

The farmer told them they each had to go their separate ways and sell these eggs. They each had to sell the eggs for the same price. And they had to sell all of their eggs before returning home. And they somehow had to return with the same amount of money. And the daughters were not allowed to have any contact with each other to exchange money, or eggs.

So each daughter was tasked to sell their specific amount of eggs, 15, 50 or 85, charging the same price, and somehow return home with the same amount of money. 

How did they do it?

Good luck.
 

Answer: 

Okay, this one was a hard one. Challenging, one might say. You gotta have some command of algebra for this one. We do that to you sometimes. We love puzzlers like this that seem impossible to solve.

Here we go. 

Farmer has three daughters, gives them a task, to sell eggs. They all have a different number of eggs, and he says they have to sell them for the same amount of money, and somehow come home with the same amount of money. It seems almost impossible at first glance, I know!

To each of his daughters he gave the following number of eggs.

Daughter #1 got 15 eggs.

Daughter #2 got 50 eggs.

Daughter #3 got 85 eggs.

How do they do it?

Well, this is how. The big hint was that they are eggs. And how do we buy eggs? We buy them by the dozen. A dozen is 12 eggs. 

So now that we know that, we can use the figure 12 to help us solve this. 

We know that the farmer says they have to sell the eggs for the same price, and somehow come home with the same amount of money. 

So using the 12 to our advantage, we set a price for a dozen eggs, and then charge a certain price for the single eggs. So we know the below to be true.

Daughter 1 = 15 eggs = 1 dozen eggs, plus 3 extra (12 + 3 = 15)

Daughter 2 = 50 eggs = 4 dozen eggs, plus 2 extra (48 + 2 = 50)

Daughter 3 = 85 eggs = 7 dozen eggs, plus 1 extra (84 + 1 = 85)

So, if each daughter sells her eggs for $1 per dozen, and then each loose egg for $3 per egg, the puzzler works out. (I'm fully aware that these days, the prices would be crazy high! But for the sake of this puzzler, we will go with this.) 

So...

Daughter #1, she sells 1 dozen for $1, and then 3 extra for $9, and you get $10 total.

Daughter #2, she sells 4 dozen for $4, and then 2 extra for $6, and you get $10 total.

Daughter #3, she sells 7 dozen for $7, and then 1 extra for $3, and you get $10 total.

 

The farmer definitely lost money on this experiment... He could have charged way more for his eggs!

 

 


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