Question

The volume of vegetable soup in a serving is proportional to the mass of the serving. A 290 mL serving of vegetable soup has a mass of 180 g. What is the mass of a 348 mL
serving of soup?

Answer 1

The relationship between the volume and mass of the soup is proportional, which means we can set up a proportion based on the values given.

From the problem, we know:
- A 290 mL serving has a mass of 180 g.

We can write a proportion to find the mass (m) of a 348 mL serving:

\[
\frac{180 \, \text{g}}{290 \, \text{mL}} = \frac{m \, \text{g}}{348 \, \text{mL}}
\]

To find \( m \), we can cross-multiply:

\[
180 \, \text{g} \times 348 \, \text{mL} = m \, \text{g} \times 290 \, \text{mL}
\]

Now, calculate \( 180 \times 348 \):

\[
180 \times 348 = 62,640
\]

Now, we will set up the equation:

\[
62,640 = m \times 290
\]

Now, solve for \( m \):

\[
m = \frac{62,640}{290}
\]

Now perform the division:

\[
m \approx 216 \, \text{g}
\]

Therefore, the mass of a 348 mL serving of soup is approximately **216 g**.