How many bags of potato chips do people eat? | Algebra II | Khan Academy

TL;DR

Use algebra to determine the average number of potato chips each man and woman ate at the previous parties.

Transcript

Everyone in the kingdom is very impressed with your ability to help with the party planning, everyone except for this gentlemen right over here. This is Arbegla. And he is the king's top adviser, and also chief party planner. And he seems somewhat threatened by your ability to solve these otherwise unsolvable problems, or at least from his point of... Read More

Key Insights

• 🥳 Arbegla feels threatened by your party planning skills and challenges you to solve the potato chip problem.
• 😫 By defining variables and setting up equations, you can solve the potato chip problem using algebra.
• 🧔‍♀️ The average number of bags eaten by men is determined to be 3, and the average for women is 2.

Questions & Answers

Q: How does Arbegla feel about your party planning skills?

Arbegla, the king's top advisor and chief party planner, feels threatened by your ability to solve party planning problems.

Q: What information is provided about the previous parties?

The first party had 200 men, 300 women, and a total of 1,200 bags of potato chips consumed. The second party had 100 men, 400 women, and a total of 1,100 bags consumed.

Q: How do you set up the equations to solve the potato chip problem?

Define variables for the number of bags eaten by men (m) and women (w). By setting up equations using the given information, such as 200m + 300w = 1,200, you can solve for the variables.

Q: What is the final solution to the potato chip problem?

The average number of bags of potato chips eaten by men is 3, and the average number eaten by women is 2.

Summary & Key Takeaways

• The king's top advisor is threatened by your party planning abilities and challenges you to solve the potato chip problem.

• The information given includes the number of men and women at two previous parties and the total number of bags consumed at each party.

• By defining variables and setting up equations, you can determine that men on average ate three bags of chips while women on average ate two bags.