425 in tickets were sold they were either adults or students tickets the number of student tickets were sold was three times the amount of adult ticket sold how many adult tickets were sold
s = 3a
s+a = 425
4a = 425
4 does not divide 425. ???
Let's denote the number of adult tickets as "x".
According to the problem, the number of student tickets sold is three times the number of adult tickets sold.
Therefore, the number of student tickets sold would be 3x.
The total number of tickets sold is given as 425.
So, the equation representing the total number of tickets sold is:
x + 3x = 425.
Combining like terms, we have:
4x = 425.
To isolate x, we divide both sides of the equation by 4:
x = 425 / 4.
Simplifying the right side of the equation, we have:
x = 106.25.
However, the number of adult tickets must be a whole number since we cannot have a fraction of a ticket.
Therefore, it is not possible to determine the exact number of adult tickets sold based on the information provided.
To find the number of adult tickets sold, we need to use algebraic reasoning based on the given information.
Let's assume the number of adult tickets sold is "x". According to the problem, the number of student tickets sold was three times the amount of adult tickets sold. So, the number of student tickets sold would be 3x.
Since the total number of tickets sold is 425, we can write an equation to represent this:
x + 3x = 425
Combining like terms:
4x = 425
Now, let's solve for x by dividing both sides of the equation by 4:
x = 425/4
Using a calculator, we find that x ≈ 106.25.
Since we cannot have a fractional or decimal number of tickets, we should round our answer down to the nearest whole number. Therefore, the number of adult tickets sold would be approximately 106.