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Anna likes to make desserts for bake sales. Last month, she made 2 batches of brownies and 1 batch of cookies, which called for 7 eggs total. The month before, she baked 2 batches of brownies and 2 batches of cookies, which required a total of 10 eggs. How many eggs did Anna use for a batch of each dessert?

 

Anna uses      eggs to make a batch of brownies and      eggs to make a batch of cookies.

Arya_Lynn  May 3, 2017
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Let x be the eggs used in each batch of brownies and y be the eggs used in each batch of cookies

 

2x + 1y   = 7         →  2x  =  7 - 1y     (1)

2x + 2y  =  10    (2)

 

Sub  (1)   into (2)

 

7 - 1y + 2y  =  10     simplify

7 + y  = 10               subtract 7 from both sides

y = 3

 

Sub this into (1) to solve for x

 

2x  = 7 - 1(3)

 

2x = 4

 

x  = 2

 

So....Anna uses 2 eggs to make a batch of brownies and  3 eggs to make a batch of cookies.

 

 

cool cool cool

CPhill  May 3, 2017

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