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.
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.