Question

A total of 483 tickets were sold for the school play. They were either adult or student tickets. There were 67 fewer student tickets sold than adults. How many adult tickets were sold?

Answer 1

Step-by-step explanation:450

Answer 2

Assume that the number of student tickets is x

Since the student tickets are fewer than the adult tickets by 67

So the adult tickets = x + 67

Since their sum is 483, so add them and equate the sum by 483

`x+x+67=483`

Now we have an equation to solve it

Add the like terms

`2x+67=483`

Subtract 67 from both sides

`\begin{gathered} 2x-67+67=483 \\ 2x=416 \end{gathered}`

Divide both sides by 2

`\begin{gathered} (2x)/(2)=(416)/(2) \\ x=208 \end{gathered}`

The number of student tickets is 208

To find the number of adult tickets add 67 to 208

208 + 67 = 275

The number of adult tickets is 275

There were 275 adult ticket sold