Question

Rosie is planning to make raspberry lemonade for a party. She needs to add 2 scoops of raspberry to every 5 cups of lemonade

Answer 1

To make raspberry lemonade, Rosie can determine the amount of raspberry needed based on the total number of cups of lemonade she plans to prepare. The ratio is 2 scoops of raspberry for every 5 cups of lemonade.

Here's how she can calculate the necessary amounts:

1. **Define the total amount of lemonade:** If she decides how many cups of lemonade she wants to prepare, she'll substitute that number into the formula.

2. **Calculate the scoops of raspberry needed:** Use the ratio to scale up the amount of raspberry based on the number of cups of lemonade. The ratio can be expressed as follows:

\[
\text{Scoops of raspberry} = \left(\frac{2 \text{ scoops}}{5 \text{ cups}}\right) \times \text{Total cups of lemonade}
\]

### Example Calculations

1. If Rosie wants to make **10 cups of lemonade**:

\[
\text{Scoops of raspberry} = \left(\frac{2}{5}\right) \times 10 = 4 \text{ scoops}
\]

2. If she wants to make **15 cups of lemonade**:

\[
\text{Scoops of raspberry} = \left(\frac{2}{5}\right) \times 15 = 6 \text{ scoops}
\]

3. If she wants to make **25 cups of lemonade**:

\[
\text{Scoops of raspberry} = \left(\frac{2}{5}\right) \times 25 = 10 \text{ scoops}
\]

By following this approach, Rosie can easily adjust the amount of raspberry based on her needs for the party!