Five friends are trying to decide what kind of sandwiches to order for a party. They can choose from three options:Turkey (T), Cheese (C), and Veggie (V).

Each friend gets to cast one vote. Use the following votes to determine which sandwich option wins the majority rule:

Friend 1: T    Friend 2: V    Friend 3: T    Friend 4: C    Friend 5: T

Seven friends are trying to decide what kind of sandwiches to order for a party. They can choose from three options:Turkey (T), Cheese (C), and Veggie (V).

Refer back to Example 1.  Suppose Friend 3 voted Veggie, so the votes were: 

 Friend 1: T    Friend 2: V    Friend 3: V    Friend 4: C    Friend 5: T

How will they select which sandwich to order?

Given the ranked-choice votes of ten student council members, which sustainable dining option does the student council choose?

On Thursdays, our boss lets us order lunch from a local restaurant to be delivered. The five employees - Kameron, Chuck, Alana, Ellie Mae, Dawson are trying to decide on a restaurant. The options are Taco Roco, My Thai, Woodstocks, or Finneys. Let’s use a ranked choice voting where the restaurant with the lowest rank is eliminated in each row. Employees will list 1st choice with a 1, second choice with a 2, etc.

Three roommates Brooke, Cory, and Alexa are trying to decide which game to play.  They assign a weight (1-10) for each game, with 1 being the low and 10 being the high.  The results of their weights are given in the table.

Use a weighted voting system to decide which game they should play.

A company has a budget of $3,000,000 to allocate among three departments: Sales, Marketing and Research. The Sales Department had a performance score of 150, The Marketing Department had a score of 30, and the Research Department had a score of 20. How does the company allocate the budget among the three departments?

The ASB club at San Luis High School has a total budget of $10,000 for organizing events among four student clubs: Auto Club, Surf Club, Welding Club, and Key Club. The apportionment is based on the number of active members in each club:

Auto Club 80 members

Surf Club 40 members

Welding Club 60 members

Key Club 120 members

How does the ASB club allocate the budget among the four student club based on the number of active members in each club?

In a small town, there are three main neighborhoods: Charles Way, Flora West, and Hillman Ranch. The town council has $24,000 to allocate for improvements. The apportionment is based on the area of each neighborhood.

Consider a group of six friends who want to rent a vacation home for the weekend in San Diego. They decide to equally split the cost for the weekend getaway. Total cost of rental is $900.

Suppose Mr. Ortiz is hosting a pizza party fundraiser. He purchases 100 pizzas to sell at the event. There are three popular pizza flavors available: cheese, pepperoni, and veggie. During the event, attendees are asked to vote for their favorite pizza flavor. The results of the vote indicate the following percentages of the total votes:

Cheese pizza 40% of the total vote

Pepperoni pizza 30% of the total vote

Veggie pizza 30% of the total vote

To ensure that the pizza supply reflects the preferences of the attendees, how does Mr. Ortiz decide to allocate the pizzas proportionally based on the vote percentages?

Three friends, Alana, Pedro, and Brooke, decide to start a business together. They plan to divide the profits based on the amount of money each person invests in the venture. Alana invests $10,000, Pedro invests $15,000, and Brooke invests $5,000. They operate the business for a year and make a total profit of $30,000. How should they divide the profits proportionally based on their investments?