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?
Answers
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.
the fist one is not equalvalent but i think th second one isand the third isnt definetly or the last one is i think. hope this !
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