Question

Functions Unit Test
8 of 158 of 15 Items














Question
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

To find the weight of the pan, we can set up a system of equations based on the information provided.

Let \( p \) be the weight of the pan, and let \( e \) be the weight of one egg. We can create the following 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 two equations. First, we can subtract the first equation from the second:

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

This simplifies to:

\[
4e = 6
\]

Now, divide by 4:

\[
e = \frac{6}{4} = 1.5 \text{ ounces (weight of one egg)}
\]

Next, we can substitute the value of \( e \) back into one of the original equations to find \( p \). We'll use the first equation:

\[
p + 4(1.5) = 18
\]

This simplifies to:

\[
p + 6 = 18
\]

Subtract 6 from both sides:

\[
p = 18 - 6
\]
\[
p = 12 \text{ ounces (weight of the pan)}
\]

Therefore, the weight of the pan is **12 ounces**.