Question

Yon buys tickets to a concert for himself and a friend. There is a tax of 6% on the price of the tickets andan additional booking fee of $20 for the transaction. Enter an algebraic expression to represent the priceper person. Simplify the expression if possible. Use variablet for the price of the 2 tickets in dollars.The algebraic expression is

Answer 1

Let the price of each ticket be represented by

`=x`

The price of two tickets will be

`t=2x`

The tax on the price of the tickets is 6% which be represented as

`\begin{gathered} =(6)/(100)* t \\ =(6t)/(100)=0.06t \end{gathered}`

The price of the two tickets after tax will be

`\begin{gathered} the\text{price of the two tickets+the tax on the two tickets} \\ =t+0.06t \\ =1.06t \end{gathered}`

Therefore,

The price of the tickets after adding an additional booking fee of $20 will be given below as

`=1.06t+20`

Since,

We were asked to get the algebraic expression person, we would therefore divide the above expression by 2

`\begin{gathered} =(1.06t+20)/(2)=(1.06t)/(2)+(20)/(2) \\ =0.53t+10 \end{gathered}`

Hence,

The algebraic expression to represent the price per person using variable t is

=0.53t + 10