Question

A high school play is sold tickets to their performance and wanted to see how many tickets were adults (x) and how many were students (y). There were 50 more adult tickets sold compared to student tickets. Adult tickets were $5, student tickets were $2, and they collected a total of $950. Write 2 equations and solve this system.

Answer 1

Answer:

70

Step-by-step explanation:

Answer 2

The equation are x = y + 50  and 5x + 2y = 950

Firstly, let x represent the number of adult tickets sold and let y represent the number of student tickets sold.

Since there was 50 more adult tickets sold compared to student tickets, hence this statement can be represented by the equation:

x = y + 50 (1)

Also, they collected a total of $950. Each adult ticket was $5 while female ticket was $2, hence:

5x + 2y = 950     (2)

5(y + 50) + 2y = 950

y = 100

x = 100 + 50

x = 150

Solving equations 1 and 2 simultaneously gives y = 100 and x = 150

Therefore they was 150 adult tickets and 100 student tickets

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