Question

A total of 584 tickets were sold for the school play. They were adult tickets or student tickets. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold

Answer 1

Answer:146 adult tickets were sold.

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

Answer 2

The answer to your question is 146 adult tickets

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