4.29+Substitution+Method

The school dance team raised money by charging admission to the spring ballet. They charged $2 for each student ticket and $5 for each adult ticket, raising $510 from ticket sales.

1. Write an equation in standard form that relates the numbers of adult tickets and student tickets bought for $510. Let x represent the number of student tickets bought and let y represent the number of adult tickets bought.

2. Adults bought 3 times the number of tickets that students bought. Write an equation in x and y as defined in Question 1 that represents this situation.

3. Do 50 student tickets and 100 adult tickets satisfy the equations in Questions 1 and 2? Show all your work.

4. Use the substitution method to solve the linear system. Show all your work.

5. What does the solution in Question 4 mean in context of the problem situation? Use a complete sentence in your answer.

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4.29 Substitution Method Page 2