In your industrial oven, you bake two cooking sheets with 12 scones each, two baking sheets with 20 cookies each, and one baking sheet with 2 scones and 10 cookies. Write an expression that illistrates the total cost of all baked goods in the scenario using the variable s to represent the cost of the scones and the variable c to represent the cost of the cookies. Simplify the expression by combining like terms
2*12s + 2*20c + (2s + 10c)
24s + 40c + 2s + 10c
26s + 12c
I'm sorry but how did you you get 26s + 12c? Isn't it 26s + 50c?
To calculate the total cost of all baked goods in the scenario, we need to multiply the quantity of each item by its corresponding cost and then sum up the costs.
Let's break it down step by step:
1. The first cooking sheet contains 12 scones, so the cost for the scones on this baking sheet is 12s.
2. The second cooking sheet also contains 12 scones, so the cost for the scones on this baking sheet is 12s as well.
3. The first baking sheet with cookies contains 20 cookies, so the cost for the cookies on this baking sheet is 20c.
4. The second baking sheet with cookies also contains 20 cookies, so the cost for the cookies on this baking sheet is also 20c.
5. The last baking sheet contains 2 scones and 10 cookies. The cost for the scones on this baking sheet is 2s, and the cost for the cookies is 10c.
Adding up all the costs:
Total cost = (12s + 12s) + (20c + 20c) + (2s + 10c)
To simplify the expression, we combine like terms:
Total cost = 24s + 40c + 2s + 10c
Finally, we can further simplify by combining the coefficients of s and c:
Total cost = 26s + 50c
So, the simplified expression that illustrates the total cost of all baked goods in the scenario is 26s + 50c.