james makes an acai bowl using 3/5 cups of almond milk for every 1 1/2 teaspoons of cashew butter. James wants to know the number of cups of almond milk per teaspoon of cashew butter

To determine the number of cups of almond milk per teaspoon of cashew butter, you can follow these steps:

1. **Convert the ratio to a consistent unit:**  
   The ratio is given as 3/5 cups of almond milk for every 1 1/2 teaspoons of cashew butter.  
   First, convert the mixed fraction \( 1 \frac{1}{2} \) teaspoons to an improper fraction:
   \[
   1 \frac{1}{2} = \frac{3}{2}
   \]
   
2. **Set up the ratio of almond milk to cashew butter:**  
   The ratio is \( \frac{3}{5} \) cups of almond milk per \( \frac{3}{2} \) teaspoons of cashew butter.

3. **Divide to find the number of cups of almond milk per teaspoon of cashew butter:**
   To find the number of cups of almond milk per teaspoon, divide the amount of almond milk by the amount of cashew butter:
   \[
   \frac{\frac{3}{5}}{\frac{3}{2}} = \frac{3}{5} \times \frac{2}{3} = \frac{6}{15} = \frac{2}{5}
   \]

Thus, the number of cups of almond milk per teaspoon of cashew butter is **\( \frac{2}{5} \) cups**.

Would you like further details or have any questions?

Here are 5 related questions to consider:
1. How can you convert between different units (e.g., cups to teaspoons) in a recipe?
2. How would the calculation change if James used 2 teaspoons of cashew butter?
3. What if James used 1 cup of almond milk instead of 3/5? How would the ratio change?
4. How can we express the result as a decimal instead of a fraction?
5. How would this ratio scale for larger quantities, like making 5 acai bowls?

**Tip:** When dividing fractions, remember to multiply by the reciprocal of the divisor.

Learn how to calculate the number of cups of almond milk per teaspoon of cashew butter using the ratio of 3/5 cups to 1 1/2 teaspoons. This problem covers key concepts like ratio, fraction operations, and dividing fractions. Ideal for students in Grades 6-8.

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