3. In his propane oven, he bakes two baking sheets with 24 Peanut Butter cookies on each sheet, two baking sheets with 18 Chocolate Chip cookies on each sheet, and one baking sheet with 10 Peanut Butter cookies and 12 Chocolate Chip cookies

Write an expression that illustrates the total cost of all baked goods in the scenario above using the variable ‘c’ to represent the cost of Chocolate Chip cookies and the variable ‘p’ to represent the cost of Peanut Butter cookies. Simplify your expression by combining like terms.

Total cost = (2x24)p + (2x18)c + 10p + 12c

Multiply out and combine "p" and "c" terms separately

To calculate the total cost of all baked goods, we need to consider the number of cookies of each type and their respective costs.

Let's break down the problem and calculate the costs separately for each type of cookie.

For the Peanut Butter cookies:
- There are 24 cookies per baking sheet, and there are 2 baking sheets, so the total number of Peanut Butter cookies is 24 * 2 = 48.
- The cost per Peanut Butter cookie is represented by 'p', so the total cost of the Peanut Butter cookies is 48p.

Now, let's calculate the costs for the Chocolate Chip cookies:
- There are 18 cookies per baking sheet, and there are 2 baking sheets, so the total number of Chocolate Chip cookies is 18 * 2 = 36.
- Additionally, there are 10 Peanut Butter cookies and 12 Chocolate Chip cookies on one baking sheet, so we have 12 additional Chocolate Chip cookies.
- The cost per Chocolate Chip cookie is represented by 'c', so the total cost of the Chocolate Chip cookies is (36 + 12) c = 48c.

Finally, to calculate the total cost of all the baked goods, we need to add the costs of the Peanut Butter cookies and the Chocolate Chip cookies:

Total cost = cost of Peanut Butter cookies + cost of Chocolate Chip cookies
= 48p + 48c
= 48(p + c)

Therefore, the expression that illustrates the total cost of all the baked goods in the scenario is 48(p + c).