Question
A recipe for stir fry calls for 6 cups of rice for every 5 cups of veggies. Suppose a restaurant is making a large batch of stir fry using 15 cups of veggies. How much rice would they need?
Answers
GPT-4o mini
To determine how much rice is needed for 15 cups of veggies, we can use the ratio from the recipe, which states that for every 5 cups of veggies, 6 cups of rice are required.
We can set up a proportion based on the given amounts.
If 5 cups of veggies require 6 cups of rice, we can express the relationship as:
\[
\frac{6 \text{ cups of rice}}{5 \text{ cups of veggies}} = \frac{x \text{ cups of rice}}{15 \text{ cups of veggies}}
\]
To solve for \(x\), we can cross-multiply:
\[
6 \times 15 = 5 \times x
\]
Calculating the left side:
\[
90 = 5x
\]
Next, we solve for \(x\) by dividing both sides by 5:
\[
x = \frac{90}{5} = 18
\]
Thus, the restaurant would need **18 cups of rice** for 15 cups of veggies.
We can set up a proportion based on the given amounts.
If 5 cups of veggies require 6 cups of rice, we can express the relationship as:
\[
\frac{6 \text{ cups of rice}}{5 \text{ cups of veggies}} = \frac{x \text{ cups of rice}}{15 \text{ cups of veggies}}
\]
To solve for \(x\), we can cross-multiply:
\[
6 \times 15 = 5 \times x
\]
Calculating the left side:
\[
90 = 5x
\]
Next, we solve for \(x\) by dividing both sides by 5:
\[
x = \frac{90}{5} = 18
\]
Thus, the restaurant would need **18 cups of rice** for 15 cups of veggies.