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Let’s break this down step by step:

Part A: **How many cups of milk are used for 1 cup of chocolate syrup?**

  • The recipe uses a ratio of **1/6 cup of milk** to **2/3 cup of chocolate syrup**.

  • To find how much milk is used for 1 cup of chocolate syrup, you can set up a proportion:

    [

    \frac{1/6}{2/3} = \frac{x}{1}

    ]

    where ( x ) is the amount of milk needed for 1 cup of chocolate syrup.

    Solving for ( x ):

    [

    x = \frac{1/6}{2/3} = \frac{1/6 \times 3}{2} = \frac{1}{4}

    ]

    So, **1/4 cup of milk** is used for 1 cup of chocolate syrup.

Part B: **How many cups of chocolate milk are made with 1 cup of chocolate syrup?**

  • The total amount of chocolate milk is the sum of the milk and chocolate syrup used.

  • From part A, for 1 cup of chocolate syrup, you use **1/4 cup of milk**.

    Therefore, the total amount of chocolate milk made is:

    [

    1 + 1/4 = 1 \frac{1}{4} , \text{cups} = 1.25 , \text{cups}

    ]

So, **1.25 cups of chocolate milk** are made with 1 cup of chocolate syrup.

What else can I help you with?

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