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?

Question

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.