Lana says there are 4^3 eggs in a dozen. Patrick says there are 3^4 eggs in a dozen. Is either person correct? Why?

3 Answers
Oct 9, 2017

No.
Here is why:
A dozen is 12.
4^3 = 64 != 12
3^4 = 82 !=12

Oct 9, 2017

Neither of them are correct.

Explanation:

A dozen is 12.

Let's evaluate each exponent to see if either are equal to 12:

4^3

=4\times 4\times 4

=64

Since 64\ne 12, Lana is incorrect.


3^4

=3\times 3\times 3\times 3

=81

Since 81\ne 12, Patrick is also incorrect.


Therefore, neither Patrick nor Lana is correct.

Oct 9, 2017

None of them are correct.

Explanation:

A dozen is defined as a group of 12 (twelve).

If we simplify each of the values, we get:

I will do it step by step to avoid confusion.

4^3

=4xx4xx4

=16xx4

=64

3^4

=3xx3xx3xx3

=9xx3xx3

=27xx3

=81

Therefore, neither Lana nor Patrick are correct.

In fact, no expression of a value by the power of x will equal to 12.

Hope this helps :)