Question

A pan with 2 eggs weighs 9 ounces. a pan with four eggs weighs 12 ounces. What is the weight of the pan?

A: 6oz
B: 12oz
C: 9oz
D: 3oz

Answer 1

Let's denote the weight of the pan as \( p \) ounces and the weight of each egg as \( e \) ounces.

From the information given, we can create two equations:

1. For the pan with 2 eggs:
\[
p + 2e = 9
\]

2. For the pan with 4 eggs:
\[
p + 4e = 12
\]

Now, we can solve these equations.

We can subtract the first equation from the second:
\[
(p + 4e) - (p + 2e) = 12 - 9
\]
This simplifies to:
\[
2e = 3
\]
So,
\[
e = \frac{3}{2} = 1.5 \text{ ounces (weight of each egg)}
\]

Now we can substitute \( e \) back into one of the original equations to find \( p \). Using the first equation:
\[
p + 2 \times 1.5 = 9
\]
\[
p + 3 = 9
\]
\[
p = 9 - 3
\]
\[
p = 6 \text{ ounces (weight of the pan)}
\]

Thus, the weight of the pan is \( 6 \) ounces.

The correct answer is \( A: 6oz \).