Ask a New Question
Menu

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

1 answer

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 \( A: 6oz \).