Kari is making baked goods for a party. Each batch of cookies use 2 eggs and 4 cups of flower. Each batch of cupcakes use 4 eggs and 3 cups

Question

Kari is making baked goods for a party. Each batch of cookies use 2 eggs and 4 cups of flower. Each batch of cupcakes use 4 eggs and 3 cups of flower. Kari has 2 dozen eggs and 30 cups of flower on hand. How many batches of each should Kari make to maximize the amount of servings? If a single batch of cookies and cupcakes makes 12 servings, how many servings will she have if she maximizes her amount?

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Amelia 2 weeks 2022-01-12T15:39:49+00:00 1 Answer 0 views 0

Answers ( )

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    2022-01-12T15:41:25+00:00

    Answer:

    A. 4 batches of Cookies

    4 batches of Cupcakes.

    B. 48 servings.

    Step-by-step explanation:

    A.

    To make a batch of:

    Cookies:

    2 eggs

    4 cups of flower

    Cupcakes:

    4 eggs

    3 cups of flower

    Kari has 2 dozen of eggs (2*12) and 30 cups of flour.

    Let the eggs and cups of flour be denoted as X and Y respectively.

    Cookies: 2X + 4Y

    Cupcakes: 4X + 3Y

    Since Kari has 24 X and 30 Y, (Expressed as whole numbers).

    2X + 4X = 24,

    X = 4

    4Y + 3Y = 30

    Y = 4

    Therefore, the maximum amount of batches is:

    4 batches of Cookies

    4 batches of Cupcakes.

    B.

    Since, 1 batch of Cookies + 1 batch of Cupcakes = 12 servings

    Therefore, 4 batch of Cookies + 4 batch of Cupcakes = (12*4) servings

    = 48 servings.

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45:7+7-4:2-5:5*4+35:2 =? ( )