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Math  /  Algebra

QuestionA total of 342 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold? □\square adult tickets

Studdy Solution

STEP 1

1. Let AA be the number of adult tickets sold.
2. Let SS be the number of student tickets sold.
3. The total number of tickets sold is 342.
4. The number of student tickets sold is two times the number of adult tickets sold.

STEP 2

1. Define the relationship between the number of student tickets and adult tickets.
2. Set up an equation based on the total number of tickets sold.
3. Solve the equation for the number of adult tickets.

STEP 3

Express the relationship between the number of student tickets and adult tickets.
S=2A S = 2A

STEP 4

Set up the equation based on the total number of tickets sold.
A+S=342 A + S = 342

STEP 5

Substitute the expression for SS from STEP_1 into the equation from STEP_2.
A+2A=342 A + 2A = 342

STEP 6

Combine like terms to simplify the equation.
3A=342 3A = 342

STEP 7

Solve for AA by dividing both sides of the equation by 3.
A=3423 A = \frac{342}{3}

STEP 8

Calculate the value of AA.
A=114 A = 114
Solution: The number of adult tickets sold is 114\boxed{114}.

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