Cookies are on sale! Today each cookie costs \[\$0.75\] less than the normal price. Right now if you buy \[7\] of them it will only cost you \[\$2.80\]!

**Write an equation to determine the normal price of each cookie \[(c)\].**

**Find the normal price of each cookie.**

To solve the problem, we need to determine the normal price of each cookie, which we'll represent with the variable $ c $.

### Step 1: Write the equation.

The problem states that the cookies are currently being sold for $ \$0.75 $ less than their normal price. This means that the current price of each cookie is $ c - 0.75 $.

If you buy 7 cookies at the current price, it will cost $ \$2.80 $. So, we can write the equation for the total cost as:
\[
7 \times (c - 0.75) = 2.80
\]

### Step 2: Solve the equation.

First, expand the left-hand side of the equation:
\[
7c - 7 \times 0.75 = 2.80
\]
\[
7c - 5.25 = 2.80
\]

Next, add $ 5.25 $ to both sides to isolate the term with $ c $:
\[
7c = 2.80 + 5.25
\]
\[
7c = 8.05
\]

Now, divide both sides by 7 to find $ c $:
\[
c = \frac{8.05}{7} \approx 1.15
\]

### Final Answer:
The normal price of each cookie is approximately $ \$1.15 $.

Would you like more details or have any questions?

Here are five related questions:
1. How would the equation change if the discount were $ \$1 $ instead of $ \$0.75 $?
2. What would be the total cost if the normal price were $ \$2 $ per cookie?
3. How much would 10 cookies cost at the discounted price?
4. If the cost was $ \$3.50 $ for 7 cookies, what would be the discount per cookie?
5. How much would 4 cookies cost at the normal price?

**Tip:** When solving equations, always perform the same operation on both sides to maintain the equality.

Learn how to calculate the normal price of cookies when a discount is applied, with a step-by-step solution. This problem involves solving a linear equation to find the original price per cookie. Suitable for students in Grades 5-7.

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