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Math  /  Algebra

QuestionYou spend $28\$ 28 on ingredients to make cookies. You charge $4\$ 4 per container of cookies. How many containers do you need to sell to earn $20\$ 20 in profit? CLEAR CHECK
Write an equation to represent the problem. Let cc represent the number of containers of cookies you need to sell. □\square □\square □\square
How many containers of cookies do you need to sell? You need to sell □\square containers of cookies.

Studdy Solution

STEP 1

1. The cost of ingredients to make cookies is 28.<br/>2.Eachcontainerofcookiesissoldfor28.<br />2. Each container of cookies is sold for 4.
3. The desired profit is $20.
4. We need to find the number of containers, represented by \( c \), that need to be sold to achieve this profit.

STEP 2

1. Define the relationship between cost, revenue, and profit.
2. Write an equation to represent the problem.
3. Solve the equation for c c .

STEP 3

Define the relationship between cost, revenue, and profit.
Profit is calculated as the difference between revenue and cost. Therefore, the equation for profit is:
Profit=Revenue−Cost \text{Profit} = \text{Revenue} - \text{Cost}

STEP 4

Write an equation to represent the problem.
Given: - Revenue from selling c c containers is 4c 4c . - Cost is 28.−Desiredprofitis28. - Desired profit is 20.
Substitute these values into the profit equation:
20=4c−28 20 = 4c - 28

STEP 5

Solve the equation for c c .
Add 28 to both sides to isolate the term with c c :
20+28=4c 20 + 28 = 4c 48=4c 48 = 4c
Divide both sides by 4 to solve for c c :
c=484 c = \frac{48}{4} c=12 c = 12
You need to sell 12 \boxed{12} containers of cookies.

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