A recipe for stir fry calls for 8 cups of rice for every 6 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?

Question

Start by labeling the double number line with the cups of veggies and cups of rice that the recipe calls for.
Veggies (cups)
0
Rice (cups)
0

Answer 1

To create a double number line based on the relationships given in the recipe, we can start with the specified ratios: 8 cups of rice for every 6 cups of veggies.

We'll first label the amounts in the ratio and then extend it as needed to relate to the 15 cups of veggies.

Double Number Line:

• Veggies (cups): 0, 6, 12, 15
• Rice (cups): 0, 8, 16, ?

Steps to Calculate Rice for 15 cups of Veggies:

1. Identify the Ratio: The recipe states 6 cups of veggies corresponds to 8 cups of rice.

2. Calculate the Rice needed for 15 cups of Veggies: We can first find how many complete sets of 6 cups of veggies are in 15 cups:

   \[ \text{Number of sets of 6 cups} = \frac{15}{6} = 2.5 \]

3. Calculate Rice required for 2.5 sets: Since each set of 6 cups of veggies needs 8 cups of rice, for 2.5 sets:

   \[ \text{Rice} = 2.5 \times 8 = 20 \text{ cups of rice} \]

Complete Double Number Line:

• Veggies (cups): 0, 6, 12, 15
• Rice (cups): 0, 8, 16, 20

Conclusion:

The restaurant would need 20 cups of rice to prepare the stir fry with 15 cups of veggies.