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.
Let's break down the problem step by step:
1. Start with the equation: Revenue - Costs = Profit
2. We know the cost of ingredients is $28, so the cost equation is: $28
3. The revenue equation is: Revenue = $4 * c (where c represents the number of containers sold)
4. We want to find the number of containers needed to earn $20 in profit, so the profit equation is: Profit = $20
5. Substituting the equations, we get: $4c - $28 = $20
6. Now, let's solve for c by isolating it: $4c = $20 + $28
7. Simplifying the right side of the equation, we get: $4c = $48
8. Dividing both sides of the equation by $4, we get: c = 12
Therefore, you need to sell 12 containers of cookies to earn $20 in profit.
To find the number of containers of cookies you need to sell to earn $20 in profit, we can set up the following equation:
Profit = Revenue - Cost
Since each container of cookies is sold for $4 and you want to earn $20 in profit, the revenue can be calculated as follows:
Revenue = Selling Price per container x Number of Containers
Revenue = $4 x c
The cost of the ingredients for making the cookies is $28, so the equation becomes:
Profit = $4c - $28
We know that the desired profit is $20, so we can plug in the values into the equation and solve for c:
$20 = $4c - $28
To isolate c, we can rearrange the equation:
$4c = $20 + $28
$4c = $48
Now we can solve for c by dividing both sides of the equation by $4:
c = $48 / $4
c = 12
Therefore, you need to sell 12 containers of cookies to earn a $20 profit.
To solve this problem, we need to consider the cost of the ingredients and the desired profit.
Let's break down the problem step by step:
1. The cost of ingredients for making cookies is given as $28.
2. To calculate the profit, we need to subtract the cost of ingredients from the desired total profit. In this case, the desired profit is $20.
Profit = Desired Profit - Cost of Ingredients
Profit = $20 - $28
Profit = -$8 (since the cost is more than the profit)
Note: The negative value indicates a loss rather than a profit in this scenario.
3. To determine how many containers of cookies you need to sell to reach the desired profit, we need to calculate the profit per container. Since you charge $4 per container, the profit per container can be calculated as:
Profit per container = Selling Price per container - Cost of Ingredients per container
Profit per container = $4 - ($28 / c), where 'c' represents the number of containers sold.
To find the value of 'c', we need to solve the equation:
-$8 = $4 - ($28 / c)
We can now solve this equation for 'c':
-$8 = $4 - ($28 / c)
-$8 + $28 / c = $4
$28 / c = $12
$28 = $12 * c
$c = $28 / $12
$c = 2.33 (approximately)
Since you can't sell a fraction of a container, we round up the value to the nearest whole number:
$c = 3
Therefore, you need to sell 3 containers of cookies to earn a $20 profit.