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Mabel likes to make desserts for bake sales. Last month, she made 3 batches of brownies and 2 batches of cookies, which called for 11 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 Mabel use for a batch of each dessert?Mabel uses eggs to make a batch of brownies and eggs to make a batch of cookies.

Question

Mabel likes to make desserts for bake sales. Last month, she made 3 batches of brownies and 2 batches of cookies, which called for 11 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 Mabel use for a batch of each dessert?Mabel uses eggs to make a batch of brownies and eggs to make a batch of cookies.

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Solution

The problem can be solved using a system of linear equations. Let's denote the number of eggs Mabel uses for a batch of brownies as B and for a batch of cookies as C.

From the problem, we have the following two equations:

3B + 2C = 11 (from last month's baking) 2B + 2C = 10 (from the month before)

We can subtract the second equation from the first to get:

B = 1

Substituting B = 1 into the second equation gives us:

2*1 + 2C = 10 2C = 10 - 2 2C = 8 C = 4

So, Mabel uses 1 egg to make a batch of brownies and 4 eggs to make a batch of cookies.

This problem has been solved

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