Question

4 eggs weigh 18 ounces , a pan with 8 eggs weighs 24 ounces, what is the weight of the pan

Answer 1

Let's denote the weight of the pan as \( P \), the weight of one egg as \( E \), and then set up the equations based on the information provided.

From the first statement, we know:

1. The weight of 4 eggs is 18 ounces:
\[
4E = 18 \quad \Rightarrow \quad E = \frac{18}{4} = 4.5 \text{ ounces}
\]

From the second statement, we have:

2. The weight of a pan with 8 eggs is 24 ounces:
\[
P + 8E = 24
\]

Now we can substitute \( E = 4.5 \) into the second equation:

\[
P + 8 \times 4.5 = 24 \\
P + 36 = 24
\]

Now, solve for \( P \):

\[
P = 24 - 36 \\
P = -12
\]

Since the weight of the pan cannot be negative, we might need to re-evaluate our calculations; however, based on the data provided, the calculations seem correct. It's important to check if the weights provided are consistent as both the total weights derived from the eggs and the overall statement should logically correspond.

Since the pan must have a positive weight, there seems to be a miscalculation; the parameters given might need revision for logical coherence (as the weight of the pan cannot logically come out to be negative).

Please review and clarify the parameters or data given to confirm a valid boundary condition.