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Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Scouting troops in Taylor County are putting on a crab feed to raise money for camp. They offer a complete crab dinner as well as a vegetarian option. One troop member sold tickets for 20 crab meals and 30 vegetarian meals, with total receipts of $1,510. Another sold tickets for 20 crab meals and 20 vegetarian meals, bringing in a total of $1,300. How much do the two types of tickets cost? A ticket for a crab meal costs $ and a ticket for a vegetarian meal costs $

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Scouting troops in Taylor County are putting on a crab feed to raise money for camp. They offer a complete crab dinner as well as a vegetarian option. One troop member sold tickets for 20 crab meals and 30 vegetarian meals, with total receipts of $1,510. Another sold tickets for 20 crab meals and 20 vegetarian meals, bringing in a total of $1,300. How much do the two types of tickets cost? A ticket for a crab meal costs $ and a ticket for a vegetarian meal costs $

Algebra and Trigonometry (6th Edition)
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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**Solving a System of Equations: Word Problems** In this exercise, you will learn to write a system of equations based on the situation described below, solve it using any method, and fill in the blanks accordingly. **Scenario:** Scouting troops in Taylor County are organizing a crab feed to raise money for camp. They offer a complete crab dinner as well as a vegetarian option. Here are the details of the ticket sales: - One troop member sold tickets for 20 crab meals and 30 vegetarian meals, resulting in total receipts of $1,510. - Another troop member sold tickets for 20 crab meals and 20 vegetarian meals, bringing in a total of $1,300. **Problem:** Determine the cost of each type of ticket. **Equation Setup:** Let: - \( x \) be the cost of a ticket for a crab meal. - \( y \) be the cost of a ticket for a vegetarian meal. From the sales data, you can set up the following equations: 1. \( 20x + 30y = 1510 \) 2. \( 20x + 20y = 1300 \) **Solution Task:** Find the values of \( x \) and \( y \) by solving the system of equations. Once you determine these values, complete the statements: - A ticket for a crab meal costs $________. - A ticket for a vegetarian meal costs $________. Fill in your answers and click the "Submit" button to check your solution.
Transcribed Image Text:**Solving a System of Equations: Word Problems** In this exercise, you will learn to write a system of equations based on the situation described below, solve it using any method, and fill in the blanks accordingly. **Scenario:** Scouting troops in Taylor County are organizing a crab feed to raise money for camp. They offer a complete crab dinner as well as a vegetarian option. Here are the details of the ticket sales: - One troop member sold tickets for 20 crab meals and 30 vegetarian meals, resulting in total receipts of $1,510. - Another troop member sold tickets for 20 crab meals and 20 vegetarian meals, bringing in a total of $1,300. **Problem:** Determine the cost of each type of ticket. **Equation Setup:** Let: - \( x \) be the cost of a ticket for a crab meal. - \( y \) be the cost of a ticket for a vegetarian meal. From the sales data, you can set up the following equations: 1. \( 20x + 30y = 1510 \) 2. \( 20x + 20y = 1300 \) **Solution Task:** Find the values of \( x \) and \( y \) by solving the system of equations. Once you determine these values, complete the statements: - A ticket for a crab meal costs $________. - A ticket for a vegetarian meal costs $________. Fill in your answers and click the "Submit" button to check your solution.
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