Solving Systems Word Problems - Elimination and Substitution

 The sum of two numbers is 25. One number is twice the second number plus seven. What are the two numbers?

 The sum of two numbers is 25. One number is twice the second number plus seven. What are the two numbers?

Two times a number added to another number is 25. Three times the first number minus the other number is 20. Find the two numbers.

Two times a number added to another number is 25. Three times the first number minus the other number is 20. Find the two numbers.

At the state fair, the Jones family bought two adult tickets and four child’s tickets for $56. The McGee family bought two adult tickets and two child’s tickets for $42. Find the cost of each. 

At the state fair, the Jones family bought two adult tickets and four child’s tickets for $56. The McGee family bought two adult tickets and two child’s tickets for $42. Find the cost of each. 

Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of people purchased 8 tickets for $52.75. How many adult tickets and student tickets were purchased?

Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of people purchased 8 tickets for $52.75. How many adult tickets and student tickets were purchased?