A smoothie recipe calls for 2 cups of juice for every 3 cups of strawberries. How many cups of strawberries would you need for 9 cups of juice?

Question

Now, use the double number line to find the number of cups of strawberries you would need for 9 cups of juice.

Answer 1

Since the ratio of juice to strawberries is 2:3, we can set up a proportion to find the amount of strawberries needed for 9 cups of juice:

2/3 = 9/x

Cross multiplying, we get:

2x = 27

Dividing both sides by 2, we find:

x = 13.5

Therefore, you would need 13.5 cups of strawberries for 9 cups of juice.

Using the double number line:

Juice: 2 ---- 9

Strawberries: 3 ---- x

We can see that for a total of 9 cups of juice, we would need 4.5 cups of strawberries.