if a swan and a third lays an egg and a third in a day and a third (on average), how many eggs lays one swan in one day?

The problem you've presented is a bit of a riddle or a play on words. Let's break it down:

The phrase "a swan and a third lays an egg and a third in a day and a third" can be interpreted as:

A swan and a third: This could mean 1 swan + 1/3 of a swan, totaling 4/3 swans.

Lays an egg and a third: This could mean 1 egg + 1/3 of an egg, totaling 4/3 eggs.

In a day and a third: This could mean 1 day + 1/3 of a day, totaling 4/3 days.

Now, the question is: How many eggs does one swan lay in one day?

To solve this, we can set up a proportion based on the information given:

4/3 swans lay 4/3 eggs in 4/3 days.

We want to find out how many eggs 1 swan lays in 1 day.

Step-by-Step Calculation:
Eggs per swan per day:

If 4/3 swans lay 4/3 eggs in 4/3 days, then:

Eggs per swan per day
=
Total eggs
Total swans
×
Total days
Eggs per swan per day=
Total swans×Total days
Total eggs
​

Eggs per swan per day
=
4
/
3
(
4
/
3
)
×
(
4
/
3
)
Eggs per swan per day=
(4/3)×(4/3)
4/3
​

Eggs per swan per day
=
4
/
3
16
/
9
=
4
/
3
×
9
/
16
=
36
48
=
3
4
Eggs per swan per day=
16/9
4/3
​
=
=
4/3×9/16
​

48
36
​
=
4
3
​

Final Answer:

One swan lays 3/4 of an egg in one day.

The answer is 0.75 eggs per day per swan. This means that, on average, one swan lays three-quarters of an egg in one day.

_______

LOL