Question

Students sold 342 tickets to the school carnival at $11.75 each. Nine tickets were refunded. Estimate the amount of money that the school took in. Is your estimate and over estimate or underestimate?

Answer 1

Let:

x = Number of tickets

a = Price of each ticket

T = Total amount of money

so:

`\begin{gathered} T=ax \\ \end{gathered}`

Since nine tickets were refunded,

let:

y = Number of tickets refunded.

`\begin{gathered} T=ax-ay \\ where\colon \\ a=11.75 \\ x=342 \\ y=9 \\ so\colon \\ T=11.75(342)-11.75(9) \\ T=4018.5-105.75 \\ T=3912.75 \end{gathered}`

Answer:

$3912.75