A pan with four eggs weighs 18 ounces. A pan with eight eggs weighs 24 ounces. What is the weight of the pan?(1 point) oz.

Answer 1

Let the weight of the pan be \( p \) ounces and the weight of each egg be \( e \) ounces.

From the information given, we can set up two equations:

1. For the pan with four eggs: \[ p + 4e = 18 \]

2. For the pan with eight eggs: \[ p + 8e = 24 \]

Now, we can solve these equations. First, we can subtract the first equation from the second:

\[ (p + 8e) - (p + 4e) = 24 - 18 \]

This simplifies to:

\[ 4e = 6 \]

Dividing both sides by 4, we find:

\[ e = \frac{6}{4} = 1.5 \text{ ounces} \]

Now, we can substitute the value of \( e \) back into one of the original equations to find \( p \). Using the first equation:

\[ p + 4(1.5) = 18 \] \[ p + 6 = 18 \] \[ p = 18 - 6 = 12 \text{ ounces} \]

Thus, the weight of the pan is \( \boxed{12} \) ounces.