A recipe for stir fry calls for 5 cups of rice for every 4 cups of veggies. Suppose a restaurant is making a large batch of stir fry using 20 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
4
Rice (cups)
0
5
Great job!
To find how many cups of rice they’d need for 20 cups of veggies, it can be helpful to first find the unit rate, or the amount of rice needed for 1 cup of veggies. Partition the number line to find the number of cups of rice needed for every 1 cup of veggies.
Veggies (cups)
0
4
Rice (cups)
0
5
Excellent!
Label the bottom number line to find the number of cups of rice the restaurant would need for 1 cup of veggies.
Veggies (cups)
0
1
2
3
4
Rice (cups)
0
5
4
5
Good work!
The recipe calls for 1
4
1
​
cups of rice for every 1 cup of veggies. Now, use the double number line to find the number of cups of rice the restaurant would need for 20 cups of veggies. Solve on paper, then enter your answer on Zearn.
Veggies (cups)
0
1
2
3
4
20
Rice (cups)
0
1
4
1
​

5

Answer 1

To find out how much rice the restaurant would need for 20 cups of veggies, we can use the ratio established in the recipe, which is 5 cups of rice for every 4 cups of veggies.

First, we can determine how many times 4 cups of veggies fit into 20 cups of veggies:

\[ \frac{20 \text{ cups of veggies}}{4 \text{ cups of veggies}} = 5 \]

This means that 20 cups of veggies is 5 times the amount of 4 cups. To find the corresponding amount of rice, we can multiply the amount of rice (5 cups) by the same factor:

\[ 5 \text{ cups of rice} \times 5 = 25 \text{ cups of rice} \]

Therefore, the restaurant would need 25 cups of rice for 20 cups of veggies.