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

#1**+1 **

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.

CPhill
May 3, 2017