Answer:
The answer to your question is 146 adult tickets
Step-by-step explanation:
Data
Total number of tickets = 584
student ticket = s
adult ticket = a
Condition
3a = s
Equation
s + a = 584
Substitution
3a + a = 584
Simplification
4a = 584
Solve for a
a = 584/4
a = 146
Find s
s = 3(146)
s = 438
Answer:146 adult tickets were sold.
Step-by-step explanation:
Let x represent the number of adult tickets that were sold.
Let y represent the number of student tickets that were sold.
A total of 584 tickets were sold for the school play. This means that
x + y = 584 - - - - - - - - - - - - - - 1
The number of student tickets sold was three times the number of adult tickets sold. This means that
y = 3x
Substituting y = 3x into equation 1, it becomes
x + 3x = 584
4x = 584
x = 584/4 = 146
y = 3x = 3 × 146
y = 438