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

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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!

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