Question
6. Olivia used \( \frac{1}{2} \) pound of peppers and \( \frac{1}{15} \) pound of cheese to make 3 pizzas. If she uses the same recipe to make 5 pizzas. how much cheese is needed?
Ask by Carter Johnson. in the United States
Jan 25,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Olivia needs \( \frac{1}{9} \) pound of cheese to make 5 pizzas.
Solution
To determine how much cheese Olivia needs to make 5 pizzas based on her original recipe, follow these steps:
1. **Determine the amount of cheese used per pizza:**
Olivia uses \( \frac{1}{15} \) pound of cheese for **3 pizzas**.
\[
\text{Cheese per pizza} = \frac{1/15}{3} = \frac{1}{45} \text{ pound per pizza}
\]
2. **Calculate the total cheese needed for 5 pizzas:**
\[
\text{Total cheese} = \frac{1}{45} \times 5 = \frac{5}{45} = \frac{1}{9} \text{ pound}
\]
**Answer:** Olivia needs \( \frac{1}{9} \) pound of cheese to make 5 pizzas.
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Simplify this solution Mind Expander
To find out how much cheese is needed for 5 pizzas, we first need to determine the amount of cheese used per pizza. Olivia used \( \frac{1}{15} \) pound of cheese for 3 pizzas, which means for each pizza, she used \( \frac{1}{15} \div 3 = \frac{1}{45} \) pound of cheese. Now, to find the amount of cheese needed for 5 pizzas, we multiply the amount of cheese per pizza by 5: \[ \frac{1}{45} \times 5 = \frac{5}{45} = \frac{1}{9} \] Thus, Olivia needs \( \frac{1}{9} \) pound of cheese for 5 pizzas.
