A total of 408 tickets were sold for the school play. They were either 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?

Question

ebonyserrano · Answer

@Will.H

will.h · Answer

Adult tickets = x
Students tickets= 3x 

Total = x + 3x = 408
4x = 408
X = 102

shadowlegendx · Answer

Do you understand how Will got that?

shadowlegendx · Answer

Let x = amount of adult tickets sold
Let y = amount of student tickets sold

Since there are only these two types of tickets, we can infer that

x + y = 408

Using this bit of information: "The number of student tickets sold was three times the number of adult tickets sold."

We can infer that,

y = 3x

So going back to our first equation, we can replace y with 3x

x + 3x = 408

Like terms

4x = 408

Divide the equation by 4

x = 102

102 adult tickets were sold