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Question Find the number of adult tickets sold, given that a total of 308 tickets were sold, and the number of student tickets sold was 3 times the number of adult tickets sold.
Let xx be the number of adult tickets sold. Then, the number of student tickets sold is 3x3x. The total number of tickets sold is x+3x=4x=308x + 3x = 4x = 308, so x=77x = 77. Therefore, the number of adult tickets sold is 77.

Studdy Solution

STEP 1

Assumptions
1. The total number of tickets sold is 308.
2. There are only two types of tickets: adult tickets and student tickets.
3. The number of student tickets sold is three times the number of adult tickets sold.

STEP 2

Let's denote the number of adult tickets sold as A A and the number of student tickets sold as S S .

STEP 3

According to the given information, we can write the following relationship between the number of student tickets and adult tickets:
S=3A S = 3A

STEP 4

We also know that the total number of tickets sold is the sum of adult tickets and student tickets:
A+S=308 A + S = 308

STEP 5

Substitute the expression for S S from STEP_3 into the equation from STEP_4:
A+3A=308 A + 3A = 308

STEP 6

Combine like terms to find the total number of adult tickets:
4A=308 4A = 308

STEP 7

Divide both sides of the equation by 4 to solve for A A :
A=3084 A = \frac{308}{4}

STEP 8

Calculate the number of adult tickets:
A=3084=77 A = \frac{308}{4} = 77
So, 77 adult tickets were sold.

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