Solving Systems of Equations with Elimination

The video tutorial presents a scenario where a king needs to determine the number of cupcakes to order for a brunch. The problem involves understanding how many cupcakes adults and children consume on average. By gathering data from past parties, defining variables, and setting up algebraic equations, the viewer learns to solve a system of equations to find the average number of cupcakes consumed by adults and children. The solution helps the king order the correct number of cupcakes for the upcoming event.

Why does the King want to throw a brunch in your honor?

• Because you crossed the troll's bridge.

• Because you are a guest in the kingdom.

• Because you solved a math problem.

• Because you saved the prince or princess.

What is the King's main concern about ordering cupcakes?

• He wants to order the most expensive cupcakes.

• He wants to ensure everyone has enough to eat without wasting any.

• He wants to make the cupcakes himself.

• He wants to order cupcakes in different flavors.

How many adults and children were at the last party?

• 500 adults and 300 children

• 600 adults and 100 children

• 500 adults and 200 children

• 400 adults and 300 children

How many cupcakes were eaten at the party before the last one?

• 2,500 cupcakes

• 3,000 cupcakes

• 3,100 cupcakes

• 2,900 cupcakes

What variables are defined to represent the number of cupcakes eaten by adults and children?

• x for adults and y for children

• a for adults and c for children

• p for adults and q for children

• m for adults and n for children

How is the total number of cupcakes eaten by adults at the last party represented algebraically?

• 500c

• 200a

• 500a

• 200c

What is the first step in solving the system of equations?

• Adding 500a to both sides

• Subtracting 500a from both sides

• Multiplying both sides by 500a

• Dividing both sides by 500a

What is the value of c, the number of cupcakes each child eats?

• 2

• 1

• 3

• 4

What is the value of a, the number of cupcakes each adult eats?

• 3

• 4

• 6

• 5

How many cupcakes should the King order if there are 600 adults and 300 children attending the brunch?

• 4,500 cupcakes

• 4,200 cupcakes

• 3,600 cupcakes

• 3,000 cupcakes