Applying the Employee Discount

Oct 13, 2025 by miodeya.com 28 views

Introduction

In this article, we will delve into a mathematical problem that involves calculating the total cost of a pizza order. The problem is presented in a real-world scenario, where Lindy, a pizza restaurant employee, receives a 10% discount on her orders. We will break down the problem step by step, using mathematical concepts to arrive at the correct solution.

The Problem

Lindy works at a pizza restaurant and gets a 10% employee discount. She knows that if she orders ${$ d $}$ drinks and a medium pizza with ${$ t $}$ toppings, her total cost can be found using the following formula:

Total Cost = (Cost of Pizza) + (Cost of Drinks)

The cost of a medium pizza with ${$ t $}$ toppings is given by the formula:

Cost of Pizza = 15 + 2t

The cost of ${$ d $}$ drinks is given by the formula:

Cost of Drinks = 2d

Breaking Down the Problem

To find the total cost of Lindy's order, we need to substitute the cost of the pizza and the cost of the drinks into the total cost formula. We can start by substituting the cost of the pizza:

Total Cost = (15 + 2t) + (Cost of Drinks)

Next, we can substitute the cost of the drinks:

Total Cost = (15 + 2t) + 2d

Simplifying the Formula

Now that we have the total cost formula, we can simplify it by combining like terms:

Total Cost = 15 + 2t + 2d

Applying the Employee Discount

As an employee, Lindy receives a 10% discount on her orders. To apply the discount, we need to multiply the total cost by 0.9 (since 10% is equivalent to 0.1):

Total Cost = 0.9(15 + 2t + 2d)

Simplifying the Discounted Formula

Now that we have the discounted formula, we can simplify it by distributing the 0.9:

Total Cost = 13.5 + 1.8t + 1.8d

Conclusion

In this article, we have broken down the problem of calculating the total cost of a pizza order, using mathematical concepts to arrive at the correct solution. We have applied the employee discount to the total cost formula, resulting in a simplified formula that takes into account the discount. This formula can be used to calculate the total cost of a pizza order, taking into account the number of toppings and drinks ordered.

Example Use Case

Let's say Lindy orders a medium pizza with 3 toppings and 2 drinks. Using the simplified formula, we can calculate the total cost as follows:

Total Cost = 13.5 + 1.8(3) + 1.8(2) Total Cost = 13.5 + 5.4 + 3.6 Total Cost = 22.5

Therefore, the total cost of Lindy's order is $22.50.

Key Takeaways

The total cost of a pizza order can be calculated using the formula: Total Cost = 15 + 2t + 2d
The employee discount can be applied to the total cost formula by multiplying it by 0.9
The simplified formula takes into account the number of toppings and drinks ordered
The formula can be used to calculate the total cost of a pizza order in a real-world scenario.

Mathematical Concepts

Algebraic expressions
Simplifying formulas
Applying discounts

Real-World Applications

Calculating the total cost of a pizza order in a real-world scenario
Applying discounts to orders
Using mathematical concepts to solve problems in a real-world context.
Q&A: Understanding the Problem of Calculating the Total Cost of a Pizza Order ====================================================================

Introduction

In our previous article, we delved into the problem of calculating the total cost of a pizza order. We broke down the problem step by step, using mathematical concepts to arrive at the correct solution. In this article, we will answer some frequently asked questions related to the problem, providing further clarification and insight into the mathematical concepts involved.

Q: What is the formula for calculating the total cost of a pizza order?

A: The formula for calculating the total cost of a pizza order is:

Total Cost = 15 + 2t + 2d

Where t represents the number of toppings and d represents the number of drinks ordered.

Q: How do I apply the employee discount to the total cost formula?

A: To apply the employee discount, you need to multiply the total cost by 0.9 (since 10% is equivalent to 0.1). The discounted formula is:

Total Cost = 0.9(15 + 2t + 2d)

Q: What is the simplified formula for calculating the total cost of a pizza order?

A: The simplified formula for calculating the total cost of a pizza order is:

Total Cost = 13.5 + 1.8t + 1.8d

Q: How do I calculate the total cost of a pizza order with 3 toppings and 2 drinks?

A: Using the simplified formula, you can calculate the total cost as follows:

Total Cost = 13.5 + 1.8(3) + 1.8(2) Total Cost = 13.5 + 5.4 + 3.6 Total Cost = 22.5

Therefore, the total cost of the pizza order is $22.50.

Q: What if I want to calculate the total cost of a pizza order with 5 toppings and 3 drinks?

A: Using the simplified formula, you can calculate the total cost as follows:

Total Cost = 13.5 + 1.8(5) + 1.8(3) Total Cost = 13.5 + 9 + 5.4 Total Cost = 28.4

Therefore, the total cost of the pizza order is $28.40.

Q: Can I use the formula to calculate the total cost of a pizza order with a different number of toppings and drinks?

A: Yes, you can use the formula to calculate the total cost of a pizza order with any number of toppings and drinks. Simply substitute the values of t and d into the formula and calculate the result.

Q: What if I want to calculate the total cost of a pizza order with a different price for the pizza and drinks?

A: If the price for the pizza and drinks is different, you will need to adjust the formula accordingly. For example, if the price for the pizza is $20 and the price for each drink is $3, the formula would be:

Total Cost = 20 + 2t + 6d

Conclusion

In this article, we have answered some frequently asked questions related to the problem of calculating the total cost of a pizza order. We have provided further clarification and insight into the mathematical concepts involved, and have demonstrated how to use the formula to calculate the total cost of a pizza order with different numbers of toppings and drinks.

Key Takeaways

The formula for calculating the total cost of a pizza order is: Total Cost = 15 + 2t + 2d
The employee discount can be applied to the total cost formula by multiplying it by 0.9
The simplified formula takes into account the number of toppings and drinks ordered
The formula can be used to calculate the total cost of a pizza order in a real-world scenario.

Mathematical Concepts

Algebraic expressions
Simplifying formulas
Applying discounts

Real-World Applications

Calculating the total cost of a pizza order in a real-world scenario
Applying discounts to orders
Using mathematical concepts to solve problems in a real-world context.