Mei likes to make desserts for bake sales. Last month, she made 2 batches of brownies and 3 batches of cookies, which called for 16 eggs total. The month before, she baked 1 batch of brownies and 1 batch of cookies, which required a total of 6 eggs. How many eggs did Mei use for a batch of each dessert?

she uses 2 eggs for one batch of brownies and 4 eggs for one batch of cookies.

Step-by-step explanation:

Let x represent the number of eggs that she uses for one batch of brownies.

Let y represent the number of eggs that she uses for one batch of cookies.

Last month, she made 2 batches of brownies and 3 batches of cookies. This means that

2x + 3y = 16 - - - - - - - - - -1

The month before, she baked 1 batch of brownies and 1 batch of cookies, which required a total of 6 eggs. This means that

x + y = 6 - - - - - - - - - - - - - 2

Multiplying equation 1 by 1 and equation 2 by 2, it becomes

2x + 3y = 16

2x + 2y = 12

Subtracting, it becomes

y = 4

Substituting y = 4 into equation 2, it becomes

x + 4 = 6

x = 6 - 4 = 2

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