Katie Ordered Candles That Cost $ 3 \$3 $3 Each From A Website. She Was Charged A Flat Shipping Fee Of $ 6 \$6 $6 And No Sales Tax. If She Spent A Total Of $ 54 \$54 $54 , Which Equation Can Be Used To Find C C C , The Number Of Candles

Introduction

Katie ordered candles from a website, and she was charged a flat shipping fee of $\$6$. The candles themselves cost $\$3$ each, and there was no sales tax. If Katie spent a total of $\$54$, we need to find the number of candles she ordered. In this article, we will derive an equation to solve for the number of candles, $c$.

The Cost of Candles and Shipping

Let's break down the cost of Katie's purchase. The candles cost $\$3$ each, and the shipping fee is a flat $\$6$. If Katie ordered $c$ candles, the total cost of the candles would be $3c$. Adding the shipping fee, the total cost would be $3c + 6$.

The Total Cost of the Purchase

Katie spent a total of $\$54$ on her purchase. This includes the cost of the candles and the shipping fee. We can set up an equation to represent this:

$$3c + 6 = 54$$

Solving for the Number of Candles

To solve for the number of candles, $c$, we need to isolate $c$ on one side of the equation. We can do this by subtracting $6$ from both sides of the equation:

$$3c = 54 - 6$$

$$3c = 48$$

Next, we can divide both sides of the equation by $3$ to solve for $c$:

$$c = \frac{48}{3}$$

$$c = 16$$

Conclusion

Katie ordered $16$ candles from the website. This is the solution to the equation $3c + 6 = 54$. We can verify this by plugging in $c = 16$ into the original equation:

$$3(16) + 6 = 54$$

$$48 + 6 = 54$$

$$54 = 54$$

This confirms that our solution is correct.

Real-World Applications

This type of problem has many real-world applications. For example, if you are planning a party and want to know how many candles you can buy with a certain budget, you can use this equation to solve for the number of candles. You can also use this equation to determine the cost of shipping for a large order of candles.

Tips and Variations

• If the shipping fee is not flat, but rather depends on the number of candles ordered, the equation would be more complex.
• If there is a sales tax, the equation would also be more complex, as the tax would depend on the total cost of the purchase.
• If you are planning a party and want to know how many candles you can buy with a certain budget, you can use this equation to solve for the number of candles.

Final Thoughts

In this article, we derived an equation to solve for the number of candles, $c$, that Katie ordered from a website. We used the cost of the candles and the shipping fee to set up the equation, and then solved for $c$. This type of problem has many real-world applications, and can be used to determine the cost of shipping for a large order of candles.

Introduction

In our previous article, we derived an equation to solve for the number of candles, $c$, that Katie ordered from a website. We used the cost of the candles and the shipping fee to set up the equation, and then solved for $c$. In this article, we will answer some common questions related to Katie's candle purchase.

Q: What is the equation to solve for the number of candles, $c$?

A: The equation to solve for the number of candles, $c$, is:

$$3c + 6 = 54$$

Q: How do I solve for $c$ in the equation?

A: To solve for $c$, you need to isolate $c$ on one side of the equation. You can do this by subtracting $6$ from both sides of the equation:

$$3c = 54 - 6$$

$$3c = 48$$

Next, you can divide both sides of the equation by $3$ to solve for $c$:

$$c = \frac{48}{3}$$

$$c = 16$$

Q: What if the shipping fee is not flat, but rather depends on the number of candles ordered?

A: If the shipping fee is not flat, but rather depends on the number of candles ordered, the equation would be more complex. For example, if the shipping fee is $\$1$ per candle, the equation would be:

$$3c + c = 54$$

$$4c = 54$$

$$c = \frac{54}{4}$$

$$c = 13.5$$

Q: What if there is a sales tax?

A: If there is a sales tax, the equation would also be more complex. For example, if the sales tax is $8\%$, the equation would be:

$$3c + 6 + 0.08(3c + 6) = 54$$

$$3c + 6 + 0.24c + 0.48 = 54$$

$$3.24c + 6.48 = 54$$

$$3.24c = 47.52$$

$$c = \frac{47.52}{3.24}$$

$$c = 14.67$$

Q: How do I use this equation in real-life situations?

A: This equation can be used in many real-life situations, such as:

• Planning a party and wanting to know how many candles you can buy with a certain budget.
• Determining the cost of shipping for a large order of candles.
• Calculating the cost of a purchase with a flat shipping fee and a sales tax.

Q: What are some common mistakes to avoid when using this equation?

A: Some common mistakes to avoid when using this equation include:

• Forgetting to subtract the shipping fee from the total cost.
• Forgetting to divide both sides of the equation by the coefficient of $c$.
• Not considering the sales tax when calculating the total cost.

Q: Can I use this equation to solve for other variables?

A: Yes, you can use this equation to solve for other variables, such as the cost of the candles or the shipping fee. For example, if you know the number of candles and the total cost, you can use the equation to solve for the cost of the candles:

$$3c + 6 = 54$$

$$3c = 54 - 6$$

$$3c = 48$$

$$c = \frac{48}{3}$$

$$c = 16$$

$$\text{Cost of candles} = 3c$$

$$\text{Cost of candles} = 3(16)$$

$$\text{Cost of candles} = 48$$

Conclusion

In this article, we answered some common questions related to Katie's candle purchase. We covered topics such as solving for $c$, considering a non-flat shipping fee, and calculating the cost of a purchase with a sales tax. We also discussed how to use this equation in real-life situations and some common mistakes to avoid.