**Mathematical Problem Solving**A booster club paid for pizzas for an end-of-season party. They paid $13 for each pepperoni pizza and $11 for each plain pizza. The club bought a total of 18 pizzas for the party and paid a total of $212. Drag and drop the numbers to the boxes to create an equation which models this situation if $ x $ represents the number of pepperoni pizzas and $ y $ represents the number of plain pizzas bought.**[Text Box for Drag and Drop]**\[ \boxed{ \ \ \ } x + \boxed{ \ \ \ } y = 212 \]- Number Options: [10, 12, 13, 14, 15]**Explanation:**This math problem involves understanding and creating a system of linear equations based on given word problems. In the context of real-life applications like budgeting and purchasing, such equations help in determining quantities of different items within specific cost constraints.**Solution Strategy:**1. Identify the cost of each type of pizza. - Pepperoni Pizza: $13 each - Plain Pizza: $11 each2. Total number of pizzas bought: 183. Total cost paid: $212We need to create an equation using these values. **Modeling Equation:**\[ 13x + 11y = 212 \]Where:- $ x $ is the number of pepperoni pizzas- $ y $ is the number of plain pizzasWe also have another constraint derived from the total number of pizzas:\[ x + y = 18 \]By solving these equations simultaneously, one can determine the number of each type of pizza bought.**Interactive Component:**Below the equation, users are encouraged to drag and drop numerical values into the provided boxes to form the final equation that models the scenario described. This interactive approach aids in reinforcing the concept of forming and solving linear equations.

It is given that, x = The number of pepperoni pizzas. y = The number of plain pizzas bought. Price…

5. A booster club paid for pizzas for an end of season party. They paid $13 for each pepperoni pizza and $11 for each plain pizza. The club bought a total of 18 pizzas for the party and paid a total of $212. Drag and drop the numbers to the boxes to create an equation which models this situation if x = the number of pepperoni pizzas and y number of plain pizzas bought. the %3D 10 11 12 13 14 15 y= 212

5. A booster club paid for pizzas for an end of season party. They paid $13 for each pepperoni pizza and $11 for each plain pizza. The club bought a total of 18 pizzas for the party and paid a total of $212. Drag and drop the numbers to the boxes to create an equation which models this situation if x = the number of pepperoni pizzas and y number of plain pizzas bought. the %3D 10 11 12 13 14 15 y= 212

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

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**Mathematical Problem Solving**

A booster club paid for pizzas for an end-of-season party. They paid $13 for each pepperoni pizza and $11 for each plain pizza. The club bought a total of 18 pizzas for the party and paid a total of $212.

Drag and drop the numbers to the boxes to create an equation which models this situation if $ x $ represents the number of pepperoni pizzas and $ y $ represents the number of plain pizzas bought.

**[Text Box for Drag and Drop]**

\[
\boxed{ \ \ \ } x + \boxed{ \ \ \ } y = 212
\]

- Number Options: [10, 12, 13, 14, 15]

**Explanation:**

This math problem involves understanding and creating a system of linear equations based on given word problems. In the context of real-life applications like budgeting and purchasing, such equations help in determining quantities of different items within specific cost constraints.

**Solution Strategy:**

1. Identify the cost of each type of pizza.
- Pepperoni Pizza: $13 each
- Plain Pizza: $11 each

2. Total number of pizzas bought: 18

3. Total cost paid: $212

We need to create an equation using these values.

**Modeling Equation:**

\[ 13x + 11y = 212 \]

Where:
- $ x $ is the number of pepperoni pizzas
- $ y $ is the number of plain pizzas

We also have another constraint derived from the total number of pizzas:

\[ x + y = 18 \]

By solving these equations simultaneously, one can determine the number of each type of pizza bought.

**Interactive Component:**

Below the equation, users are encouraged to drag and drop numerical values into the provided boxes to form the final equation that models the scenario described. This interactive approach aids in reinforcing the concept of forming and solving linear equations.

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