. In your industrial oven, you bake two baking sheets with 12 scones each, two baking sheets with 20 cookies each, and one baking sheet with 2 scones and 10 cookies.

a. Write an expression that illustrates the total cost of all baked goods in the scenario above using the variable s to represent the cost of scones, and the variable c to represent the cost of cookies. Simplify your expression by combining like terms.

b. Imagine you have decided to price the scones at $2.28 each and the cookies at $1.19 each. How much total revenue would result from selling all the scones and cookies baked in the oven at one time?

c. Yesterday your store earned $797.30 just from the sale of cookies. Write and solve an equation that represents how many cookies were sold.

total cost=c(1*10+2*20)+s(1*2+2*12)

somplify

revenue= numberscones*2.28 + numbercookies*1.19

a. To find the total cost of all baked goods, we need to calculate the cost of each type of baked good separately and then add them together.

Let's start with the scones. We have two baking sheets with 12 scones each and one baking sheet with 2 scones. So the total number of scones is 2 * 12 + 2 = 26.

To find the cost of the scones, we multiply the number of scones by the cost per scone (s). So the cost of the scones is 26s.

Next, let's calculate the cost of the cookies. We have two baking sheets with 20 cookies each and one baking sheet with 10 cookies. So the total number of cookies is 2 * 20 + 10 = 50.

To find the cost of the cookies, we multiply the number of cookies by the cost per cookie (c). So the cost of the cookies is 50c.

Finally, to find the total cost of all baked goods, we add the cost of the scones and the cost of the cookies.

Total cost = 26s + 50c

b. To find the total revenue from selling all the scones and cookies, we need to calculate the revenue from each type of baked good separately and then add them together.

We have already calculated the total number of scones as 26, and the total number of cookies as 50.

To find the revenue from the scones, we multiply the number of scones by the selling price per scone ($2.28). So the revenue from the scones is 26 * $2.28 = $59.28.

To find the revenue from the cookies, we multiply the number of cookies by the selling price per cookie ($1.19). So the revenue from the cookies is 50 * $1.19 = $59.50.

Finally, we add the revenue from the scones and the revenue from the cookies to find the total revenue.

Total revenue = $59.28 + $59.50 = $118.78

c. Let's assume the number of cookies sold is represented by the variable x.

The revenue from selling cookies can be found by multiplying the number of cookies sold (x) by the selling price per cookie ($1.19). So we have the equation:

Revenue from cookies = x * $1.19

We know that the revenue from cookies is $797.30. So we can write the equation as:

$797.30 = x * $1.19

To solve for x, we divide both sides of the equation by $1.19:

x = $797.30 / $1.19

Using a calculator, we find that x is approximately 670.59.

Therefore, approximately 670 cookies were sold.