Question

In culinary class, you made fudge brownies and peanut butter brownies. Each batch of fudge brownies makes 1 pan. Each batch of peanut butter brownies makes 9 pans. The class made 5 batches and ended up with 29 pans. How many batches of each type of brownie were made?

Answer 1

Answer: 4 batches of fudge brownies and 1 batch of peanut butter brownies were made.

Explanation:

Let x be the number of batches of fudge brownies made, and y be the number of batches of peanut butter brownies made.

From the problem, we can write two equations based on the information given:

Each batch of fudge brownies makes 1 pan: x = number of pans of fudge brownies.

Each batch of peanut butter brownies makes 9 pans: 9y = number of pans of peanut butter brownies.

We also know that the class made 5 batches in total, and ended up with 29 pans:

x + 9y = 29 (total number of pans)

We can now solve for x and y by using a system of two equations:

x + 9y = 29 (equation 1)

x + y = 5 (equation 2)

Solving for x in equation 2 and substituting into equation 1, we get:

(5 - y) + 9y = 29

Simplifying and solving for y:

8y = 24

y = 3

Substituting y = 3 into equation 2, we get:

x + 3 = 5

x = 2

Therefore, the class made 2 batches of fudge brownies (2 pans) and 1 batch of peanut butter brownies (9 pans), for a total of 29 pans. Alternatively, we can say that the class made 4 batches of fudge brownies (4 pans) and 1 batch of peanut butter brownies (9 pans) for a total of 29 pans.