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?

Answer 1

To compare the ratios of Parmesan to mozzarella for both pizzerias, we can express the ratios as fractions.

1. Tony's Pizzeria: The ratio of Parmesan to mozzarella is \( \frac{1 \text{ part Parmesan}}{8 \text{ parts mozzarella}} \). \[ \text{Ratio (Tony's)} = \frac{1}{8} \]

2. Mario's Pizzeria: The ratio of Parmesan to mozzarella is \( \frac{2 \text{ parts Parmesan}}{10 \text{ parts mozzarella}} \). \[ \text{Ratio (Mario's)} = \frac{2}{10} = \frac{1}{5} \]

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

To do this, we can find a common denominator, which is 40 in this case:

• For \( \frac{1}{8} \): \[ \frac{1}{8} = \frac{5}{40} \]

• For \( \frac{1}{5} \): \[ \frac{1}{5} = \frac{8}{40} \]

Now we can compare \( \frac{5}{40} \) and \( \frac{8}{40} \):

• Since \( 8 > 5 \), we have: \[ \frac{1}{5} > \frac{1}{8} \]

Thus, Mario's Pizzeria uses a greater ratio of Parmesan to mozzarella.