You spend $28
on ingredients to make cookies. You charge $4
per container of cookies. How many containers do you need to sell to earn $20
in profit?
CLEAR CHECK
Write an equation to represent the problem. Let c
represent the number of containers of cookies you need to sell.
=
c −
How many containers of cookies do you need to sell?
You need to sell
containers of cookies.
To find the number of containers of cookies you need to sell, let's set up an equation.
Let c represent the number of containers of cookies you need to sell.
The cost of ingredients to make the cookies is $28 and you charge $4 per container of cookies. So for every container sold, you earn $4 in profit.
To earn a total profit of $20, we can set up the equation:
4c = 28 + 20
Simplifying the equation, we have:
4c = 48
Now, to find the value of c, we divide both sides of the equation by 4:
c = 48/4
c = 12
Therefore, you need to sell 12 containers of cookies to earn a profit of $20.
To solve this problem, we first need to determine the cost of making one container of cookies. From the information given, we know that you spend $28 on ingredients to make the cookies, and you charge $4 per container of cookies. This means that the profit per container of cookies is $4 - $28 = -$24.
Next, we need to find out how many containers of cookies you need to sell to earn a profit of $20. We can set up an equation to represent this:
Profit = (Selling Price - Cost Price) * Number of Containers
Here, the Selling Price is $4 and the Cost Price is -$24 (since you incur a loss of $24 per container). The Number of Containers is what we need to find.
So our equation becomes:
$20 = ($4 - $24) * Number of Containers
Simplifying the equation, we get:
$20 = -$20 * Number of Containers
Dividing both sides of the equation by -$20, we get:
Number of Containers = -$20 ÷ -$20
Number of Containers = 1
Therefore, you need to sell 1 container of cookies to earn a profit of $20.
To find out how many containers of cookies you need to sell to earn $20 in profit, you first need to calculate the total revenue from selling the cookies. Revenue can be calculated by multiplying the number of containers sold (c) by the price per container ($4).
Revenue = c * $4
Next, you need to subtract the cost of ingredients ($28) from the revenue to calculate the profit. Profit is the amount earned after deducting the cost of making the cookies.
Profit = Revenue - Cost of Ingredients
Profit = c * $4 - $28
Since you want to earn $20 in profit, you can set up an equation:
20 = c * $4 - $28
To solve for c, you need to isolate c on one side of the equation. Start by adding $28 to both sides:
20 + $28 = c * $4
Combine like terms:
$48 = c * $4
Divide both sides by $4:
$48 / $4 = c
12 = c
Therefore, you need to sell 12 containers of cookies to earn a profit of $20.