Solving System of Equations in Word Problems

This video tutorial covers solving problems using systems of equations. It includes examples such as finding the difference and sum of two numbers, calculating boat speed with and against a current, determining the number of students a bus and van can carry, and solving ticket sales problems. The tutorial emphasizes identifying variables, setting up equations, and using algebraic methods to find solutions.

What is the first step in solving the problem involving the difference and sum of two numbers?

• Subtract the equations

• Solve for y

• Identify the variables

• Identify the coefficients

If the difference of two numbers is 4 and their sum is 22, what is the value of the larger number?

• 13

• 9

• 22

• 18

In the boat speed problem, what equation represents the boat's speed with the current?

• X - Y = 24

• X + Y = 24

• X + Y = 4

• X - Y = 4

What is the speed of the boat in still water if it travels 24 km with the current and 4 km against the current?

• 12 km/h

• 10 km/h

• 14 km/h

• 16 km/h

How many students can each bus carry if High School A and B have the same number of students and High School A uses 3 buses and High School B uses 9 buses?

• 30 students

• 40 students

• 20 students

• 10 students

What is the total number of students transported by High School A if each bus carries 20 students and they use 3 buses?

• 120 students

• 60 students

• 80 students

• 100 students

On the first day of ticket sales, how much money did the school make if they sold 4 adult tickets and 7 student tickets for a total of $75?

• $50

• $75

• $60

• $70

What is the price of a student ticket if 7 student tickets and 4 adult tickets total $75?

• $3

• $5

• $7

• $10

How much did the school make on the second day of ticket sales if they sold 4 adult tickets and 14 student tickets for a total of $110?

• $110

• $120

• $100

• $90

What is the price of an adult ticket if 4 adult tickets and 14 student tickets total $110?

• $14

• $12

• $10

• $8