Question

When she was a kid, Wanda's favorite cheese pizza came from Tony's Pizzeria. She thought their blend of 1 part Parmesan to 8 parts mozzarella had the perfect cheesy flavor. Now, her tastes have changed, so she prefers cheese pizza from Mario's Pizzeria. They use 2 parts Parmesan to 10 parts mozzarella. Which pizzeria uses a greater ratio of Parmesan to mozzarella?

A. Tony's Pizzeria uses a greater ratio.
B. Mario's Pizzeria uses a greater ratio.
C. Neither. The pizzerias use the same ratio.

Answer 1

To compare the ratios of Parmesan to mozzarella from both pizzerias, we need to calculate the ratio of Parmesan to mozzarella for each.

For Tony's Pizzeria:
- Parmesan = 1 part
- Mozzarella = 8 parts

The ratio of Parmesan to mozzarella for Tony's is:
\[
\text{Ratio} = \frac{\text{Parmesan}}{\text{Mozzarella}} = \frac{1}{8}
\]

For Mario's Pizzeria:
- Parmesan = 2 parts
- Mozzarella = 10 parts

The ratio of Parmesan to mozzarella for Mario's is:
\[
\text{Ratio} = \frac{\text{Parmesan}}{\text{Mozzarella}} = \frac{2}{10} = \frac{1}{5}
\]

Now we need to compare \(\frac{1}{8}\) and \(\frac{1}{5}\).

To compare these fractions, we can find a common denominator, which is 40:
\[
\frac{1}{8} = \frac{5}{40}
\]
\[
\frac{1}{5} = \frac{8}{40}
\]

Since \(\frac{5}{40} < \frac{8}{40}\), we see that:
\[
\frac{1}{8} < \frac{1}{5}
\]

This means that Mario's Pizzeria has a greater ratio of Parmesan to mozzarella than Tony's Pizzeria.

Therefore, the answer is:
**B. Mario's Pizzeria uses a greater ratio.**