Understanding Systems of Equations with Cupcake Party Example

The video tutorial introduces a system of equations problem involving cupcakes eaten by adults and children at a party. It defines variables X and Y to represent the number of cupcakes eaten by adults and children, respectively. Two equations are formulated based on the given data for two years. The tutorial demonstrates how to solve these equations using Desmos, a graphing tool, to find the solution where the lines intersect. The solution reveals that each adult ate 5 cupcakes and each child ate 2 cupcakes.

What is the main topic discussed in the video?

• History of mathematics

• Introduction to systems of equations

• Advanced calculus

• How to bake cupcakes

In the cupcake party scenario, what does the variable X represent?

• Cupcakes eaten by children

• Number of children

• Number of adults

• Cupcakes eaten by adults

What does the variable Y stand for in the problem?

• Cupcakes eaten by adults

• Number of parties

• Total number of cupcakes

• Cupcakes eaten by children

How many adults attended the party each year?

• 200

• 700

• 500

• 300

What is the total number of cupcakes eaten in the first year?

• 2900

• 3100

• 2000

• 3500

Which tool is used to solve the system of equations in the video?

• Desmos

• Graph paper

• Excel

• Calculator

What is the solution point where the two lines intersect?

• (4, 5)

• (6, 1)

• (5, 2)

• (3, 4)

How many cupcakes does each adult eat according to the solution?

• 5

• 4

• 3

• 2

How many cupcakes does each child eat according to the solution?

• 1

• 2

• 3

• 4

What is the main benefit of using Desmos as shown in the video?

• It is free to use

• It requires no internet

• It is faster than a calculator

• It provides a visual solution